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107896482576 = 24323128832
BaseRepresentation
bin110010001111100100…
…0011010101100010000
3101022111111021012221100
41210133020122230100
53231432444420301
6121322244024400
710536526653411
oct1443710325420
9338444235840
10107896482576
114183882a363
1218ab2392100
13a23677a03c
145317a9d808
152c175d8286
hex191f21ab10

107896482576 has 135 divisors (see below), whose sum is σ = 312368922567. Its totient is φ = 34765899840.

The previous prime is 107896482559. The next prime is 107896482613. The reversal of 107896482576 is 675284698701.

The square root of 107896482576 is 328476.

It is a perfect power (a square), and thus also a powerful number.

107896482576 is a `hidden beast` number, since 1 + 0 + 7 + 89 + 6 + 482 + 5 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 122192631 + ... + 122193513.

Almost surely, 2107896482576 is an apocalyptic number.

107896482576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107896482576 is the 328476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107896482576

107896482576 is an abundant number, since it is smaller than the sum of its proper divisors (204472439991).

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

107896482576 is an frugal number, since it uses more digits than its factorization.

107896482576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 107896482576 in words is "one hundred seven billion, eight hundred ninety-six million, four hundred eighty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 883 961 1116 1488 1766 1922 2232 2649 2883 3532 3844 4464 5298 5766 7064 7688 7947 8649 10596 11532 14128 15376 15894 17298 21192 23064 27373 31788 34596 42384 46128 54746 63576 69192 82119 109492 127152 138384 164238 218984 246357 328476 437968 492714 656952 779689 848563 985428 1313904 1559378 1697126 1970856 2339067 2545689 3118756 3394252 3941712 4678134 5091378 6237512 6788504 7017201 7637067 9356268 10182756 12475024 13577008 14034402 15274134 18712536 20365512 24170359 28068804 30548268 37425072 40731024 48340718 56137608 61096536 72511077 96681436 112275216 122193072 145022154 193362872 217533231 290044308 386725744 435066462 580088616 749281129 870132924 1160177232 1498562258 1740265848 2247843387 2997124516 3480531696 4495686774 5994249032 6743530161 8991373548 11988498064 13487060322 17982747096 26974120644 35965494192 53948241288 107896482576