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104431656744 = 233217107797383
BaseRepresentation
bin110000101000010011…
…1001001111100101000
3100222120000120211102200
41201100213021330220
53202334001003434
6115550352500200
710354625302362
oct1412047117450
9328500524380
10104431656744
114031aa47438
12182a5b4a660
139b039a783c
1450a9859d32
152ab3328199
hex18509c9f28

104431656744 has 96 divisors (see below), whose sum is σ = 302272326720. Its totient is φ = 32456636928.

The previous prime is 104431656743. The next prime is 104431656781. The reversal of 104431656744 is 447656134401.

104431656744 is a `hidden beast` number, since 1 + 0 + 4 + 43 + 1 + 6 + 567 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 104431656744.

It is not an unprimeable number, because it can be changed into a prime (104431656743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267724 + ... + 529659.

It is an arithmetic number, because the mean of its divisors is an integer number (3148670070).

Almost surely, 2104431656744 is an apocalyptic number.

It is an amenable number.

104431656744 is an abundant number, since it is smaller than the sum of its proper divisors (197840669976).

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

104431656744 is a wasteful number, since it uses less digits than its factorization.

104431656744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797519 (or 797512 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 104431656744 in words is "one hundred four billion, four hundred thirty-one million, six hundred fifty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 107 136 153 204 214 306 321 408 428 612 642 856 963 1224 1284 1819 1926 2568 3638 3852 5457 7276 7704 10914 14552 16371 21828 32742 43656 65484 130968 797383 1594766 2392149 3189532 4784298 6379064 7176447 9568596 13555511 14352894 19137192 27111022 28705788 40666533 54222044 57411576 81333066 85319981 108444088 121999599 162666132 170639962 243999198 255959943 325332264 341279924 487998396 511919886 682559848 767879829 975996792 1023839772 1450439677 1535759658 2047679544 2900879354 3071519316 4351319031 5801758708 6143038632 8702638062 11603517416 13053957093 17405276124 26107914186 34810552248 52215828372 104431656744