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115951904992 = 25721131216859
BaseRepresentation
bin110101111111101000…
…1011010100011100000
3102002021212222002002201
41223333101122203200
53344432141424432
6125133443422544
711243252634100
oct1537721324340
9362255862081
10115951904992
11451a1911460
121a580084a54
13ac1b626691
14587d873200
1530398ceee7
hex1aff45a8e0

115951904992 has 144 divisors (see below), whose sum is σ = 299037795840. Its totient is φ = 43718572800.

The previous prime is 115951904983. The next prime is 115951905001. The reversal of 115951904992 is 299409159511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115951904983) and next prime (115951905001).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426259 + ... + 643117.

It is an arithmetic number, because the mean of its divisors is an integer number (2076651360).

Almost surely, 2115951904992 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 115951904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149518897920).

115951904992 is an abundant number, since it is smaller than the sum of its proper divisors (183085890848).

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

115951904992 is a wasteful number, since it uses less digits than its factorization.

115951904992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216925 (or 216910 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 55.

The spelling of 115951904992 in words is "one hundred fifteen billion, nine hundred fifty-one million, nine hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 88 98 112 124 154 176 196 217 224 248 308 341 352 392 434 496 539 616 682 784 868 992 1078 1232 1364 1519 1568 1736 2156 2387 2464 2728 3038 3472 4312 4774 5456 6076 6944 8624 9548 10912 12152 16709 17248 19096 24304 33418 38192 48608 66836 76384 133672 216859 267344 433718 534688 867436 1518013 1734872 2385449 3036026 3469744 4770898 6072052 6722629 6939488 9541796 10626091 12144104 13445258 16698143 19083592 21252182 24288208 26890516 33396286 38167184 42504364 47058403 48576416 53781032 66792572 73948919 76334368 85008728 94116806 107562064 116887001 133585144 147897838 170017456 188233612 215124128 233774002 267170288 295795676 329408821 340034912 376467224 467548004 517642433 534340576 591591352 658817642 752934448 935096008 1035284866 1183182704 1317635284 1505868896 1870192016 2070569732 2366365408 2635270568 3623497031 3740384032 4141139464 5270541136 7246994062 8282278928 10541082272 14493988124 16564557856 28987976248 57975952496 115951904992