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20124641520 = 2432546160631
BaseRepresentation
bin10010101111100001…
…011010100011110000
31220221112001201021100
4102233201122203300
5312203402012040
613124540524400
71311464426154
oct225741324360
956845051240
1020124641520
118597921045
123a97850700
131b89468409
14d8ca8d064
157cbb8bb30
hex4af85a8f0

20124641520 has 120 divisors (see below), whose sum is σ = 67732977312. Its totient is φ = 5354841600.

The previous prime is 20124641513. The next prime is 20124641543. The reversal of 20124641520 is 2514642102.

20124641520 is a `hidden beast` number, since 2 + 0 + 1 + 246 + 415 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301605 + ... + 362235.

Almost surely, 220124641520 is an apocalyptic number.

20124641520 is a gapful number since it is divisible by the number (20) 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 20124641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33866488656).

20124641520 is an abundant number, since it is smaller than the sum of its proper divisors (47608335792).

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

20124641520 is a wasteful number, since it uses less digits than its factorization.

20124641520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61111 (or 61102 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 20124641520 in words is "twenty billion, one hundred twenty-four million, six hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 461 720 922 1383 1844 2305 2766 3688 4149 4610 5532 6915 7376 8298 9220 11064 13830 16596 18440 20745 22128 27660 33192 36880 41490 55320 60631 66384 82980 110640 121262 165960 181893 242524 303155 331920 363786 485048 545679 606310 727572 909465 970096 1091358 1212620 1455144 1818930 2182716 2425240 2728395 2910288 3637860 4365432 4850480 5456790 7275720 8730864 10913580 14551440 21827160 27950891 43654320 55901782 83852673 111803564 139754455 167705346 223607128 251558019 279508910 335410692 419263365 447214256 503116038 559017820 670821384 838526730 1006232076 1118035640 1257790095 1341642768 1677053460 2012464152 2236071280 2515580190 3354106920 4024928304 5031160380 6708213840 10062320760 20124641520