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45781742016 = 2632174675423
BaseRepresentation
bin101010101000110011…
…011111000111000000
311101011121102110111200
4222220303133013000
51222230111221031
633010513341200
73210341246343
oct525063370700
9141147373450
1045781742016
111846366642a
128a58267800
134417b7079a
14230440445a
1512ce3aa8e6
hexaa8cdf1c0

45781742016 has 84 divisors (see below), whose sum is σ = 138944250432. Its totient is φ = 14362896384.

The previous prime is 45781742003. The next prime is 45781742047. The reversal of 45781742016 is 61024718754.

45781742016 is a `hidden beast` number, since 4 + 578 + 1 + 74 + 2 + 0 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2327920 + ... + 2347503.

Almost surely, 245781742016 is an apocalyptic number.

It is an amenable number.

45781742016 is an abundant number, since it is smaller than the sum of its proper divisors (93162508416).

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

45781742016 is a wasteful number, since it uses less digits than its factorization.

45781742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675458 (or 4675445 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 45781742016 in words is "forty-five billion, seven hundred eighty-one million, seven hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 4675423 9350846 14026269 18701692 28052538 37403384 42078807 56105076 74806768 79482191 84157614 112210152 149613536 158964382 168315228 224420304 238446573 299227072 317928764 336630456 448840608 476893146 635857528 673260912 715339719 897681216 953786292 1271715056 1346521824 1430679438 1907572584 2543430112 2693043648 2861358876 3815145168 5086860224 5722717752 7630290336 11445435504 15260580672 22890871008 45781742016