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116732654010 = 23357564110949
BaseRepresentation
bin110110010110111001…
…1101111000110111010
3102011022022002020102000
41230231303233012322
53403032024412020
6125343133521430
711301513121230
oct1545563570672
9364268066360
10116732654010
11455625a3785
121a759643276
13b0142c904b
14591542a950
153083203090
hex1b2dcef1ba

116732654010 has 128 divisors (see below), whose sum is σ = 355852224000. Its totient is φ = 26674583040.

The previous prime is 116732653993. The next prime is 116732654011. The reversal of 116732654010 is 10456237611.

116732654010 is a `hidden beast` number, since 1 + 16 + 73 + 26 + 540 + 10 = 666.

It is not an unprimeable number, because it can be changed into a prime (116732654011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10656016 + ... + 10666964.

It is an arithmetic number, because the mean of its divisors is an integer number (2780095500).

Almost surely, 2116732654010 is an apocalyptic number.

116732654010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116732654010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177926112000).

116732654010 is an abundant number, since it is smaller than the sum of its proper divisors (239119569990).

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

116732654010 is a wasteful number, since it uses less digits than its factorization.

116732654010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613 (or 16607 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 116732654010 in words is "one hundred sixteen billion, seven hundred thirty-two million, six hundred fifty-four thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5641 10949 11282 16923 21898 28205 32847 33846 39487 50769 54745 56410 65694 76643 78974 84615 98541 101538 109490 118461 152307 153286 164235 169230 197082 197435 229929 236922 253845 295623 304614 328470 355383 383215 394870 459858 492705 507690 591246 592305 689787 710766 761535 766430 985410 1066149 1149645 1184610 1379574 1478115 1523070 1776915 2069361 2132298 2299290 2956230 3448935 3553830 4138722 5330745 6897870 10346805 10661490 20693610 61763309 123526618 185289927 308816545 370579854 432343163 555869781 617633090 864686326 926449635 1111739562 1297029489 1667609343 1852899270 2161715815 2594058978 2779348905 3335218686 3891088467 4323431630 5558697810 6485147445 7782176934 8338046715 11673265401 12970294890 16676093430 19455442335 23346530802 38910884670 58366327005 116732654010