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189485151600 = 24352223708091
BaseRepresentation
bin1011000001111000110…
…0011111010101110000
3200010002112202001010210
42300132030133111300
511101031144322400
6223014232224120
716455422133213
oct2603614372560
9603075661123
10189485151600
11733a6478a48
123088223b040
1314b39a7b2a4
14925781d77a
154de02b8950
hex2c1e31f570

189485151600 has 120 divisors (see below), whose sum is σ = 609706865152. Its totient is φ = 50302713600.

The previous prime is 189485151599. The next prime is 189485151643. The reversal of 189485151600 is 6151584981.

189485151600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 189485151600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86446 + ... + 621645.

Almost surely, 2189485151600 is an apocalyptic number.

189485151600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189485151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304853432576).

189485151600 is an abundant number, since it is smaller than the sum of its proper divisors (420221713552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189485151600 is a wasteful number, since it uses less digits than its factorization.

189485151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708335 (or 708324 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 189485151600 in words is "one hundred eighty-nine billion, four hundred eighty-five million, one hundred fifty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 223 240 300 400 446 600 669 892 1115 1200 1338 1784 2230 2676 3345 3568 4460 5352 5575 6690 8920 10704 11150 13380 16725 17840 22300 26760 33450 44600 53520 66900 89200 133800 267600 708091 1416182 2124273 2832364 3540455 4248546 5664728 7080910 8497092 10621365 11329456 14161820 16994184 17702275 21242730 28323640 33988368 35404550 42485460 53106825 56647280 70809100 84970920 106213650 141618200 157904293 169941840 212427300 283236400 315808586 424854600 473712879 631617172 789521465 849709200 947425758 1263234344 1579042930 1894851516 2368564395 2526468688 3158085860 3789703032 3947607325 4737128790 6316171720 7579406064 7895214650 9474257580 11842821975 12632343440 15790429300 18948515160 23685643950 31580858600 37897030320 47371287900 63161717200 94742575800 189485151600