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107936860264064 = 2713411582095161
BaseRepresentation
bin11000100010101100000010…
…001101101101011010000000
3112011011122220101011000101122
4120202230002031231122000
5103121414142211422224
61021321301543051412
731510116006230636
oct3042540215553200
9464148811130348
10107936860264064
1131434846790267
1210132a78140b68
13482c52c9815c0
141c92259a1d356
15c72a4353a15e
hex622b0236d680

107936860264064 has 64 divisors (see below), whose sum is σ = 237219348590280. Its totient is φ = 48601963315200.

The previous prime is 107936860264039. The next prime is 107936860264073. The reversal of 107936860264064 is 460462068639701.

It can be written as a sum of positive squares in 4 ways, for example, as 59584196046400 + 48352664217664 = 7719080^2 + 6953608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 107936860263988 and 107936860264006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790979357 + ... + 791115804.

Almost surely, 2107936860264064 is an apocalyptic number.

It is an amenable number.

107936860264064 is an abundant number, since it is smaller than the sum of its proper divisors (129282488326216).

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

107936860264064 is a wasteful number, since it uses less digits than its factorization.

107936860264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582095229 (or 1582095217 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 62.

The spelling of 107936860264064 in words is "one hundred seven trillion, nine hundred thirty-six billion, eight hundred sixty million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 328 416 533 656 832 1066 1312 1664 2132 2624 4264 5248 8528 17056 34112 68224 1582095161 3164190322 6328380644 12656761288 20567237093 25313522576 41134474186 50627045152 64865901601 82268948372 101254090304 129731803202 164537896744 202508180608 259463606404 329075793488 518927212808 658151586976 843256720813 1037854425616 1316303173952 1686513441626 2075708851232 2632606347904 3373026883252 4151417702464 6746053766504 8302835404928 13492107533008 26984215066016 53968430132032 107936860264064