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66253130240 = 2951123102293
BaseRepresentation
bin111101101100111111…
…101000101000000000
320100000021221201211112
4331230333220220000
52041141300131430
650234122302452
74533546213053
oct755477505000
9210007851745
1066253130240
112610918a3a0
1210a10057a28
13632b0c335b
1432c7154a9a
151acb6dc195
hexf6cfe8a00

66253130240 has 160 divisors (see below), whose sum is σ = 180829604736. Its totient is φ = 23044341760.

The previous prime is 66253130239. The next prime is 66253130261. The reversal of 66253130240 is 4203135266.

66253130240 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 (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 66253130197 and 66253130206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596534 + ... + 698826.

Almost surely, 266253130240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66253130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90414802368).

66253130240 is an abundant number, since it is smaller than the sum of its proper divisors (114576474496).

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

66253130240 is a wasteful number, since it uses less digits than its factorization.

66253130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102350 (or 102334 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 66253130240 in words is "sixty-six billion, two hundred fifty-three million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 160 176 184 220 230 253 256 320 352 368 440 460 506 512 640 704 736 880 920 1012 1265 1280 1408 1472 1760 1840 2024 2530 2560 2816 2944 3520 3680 4048 5060 5632 5888 7040 7360 8096 10120 11776 14080 14720 16192 20240 28160 29440 32384 40480 58880 64768 80960 102293 129536 161920 204586 323840 409172 511465 647680 818344 1022930 1125223 1636688 2045860 2250446 2352739 3273376 4091720 4500892 4705478 5626115 6546752 8183440 9001784 9410956 11252230 11763695 13093504 16366880 18003568 18821912 22504460 23527390 25880129 26187008 32733760 36007136 37643824 45008920 47054780 51760258 52374016 65467520 72014272 75287648 90017840 94109560 103520516 129400645 130935040 144028544 150575296 180035680 188219120 207041032 258801290 261870080 288057088 301150592 360071360 376438240 414082064 517602580 576114176 602301184 720142720 752876480 828164128 1035205160 1204602368 1440285440 1505752960 1656328256 2070410320 2880570880 3011505920 3312656512 4140820640 6023011840 6625313024 8281641280 13250626048 16563282560 33126565120 66253130240