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45475962932688 = 2431915878450243
BaseRepresentation
bin10100101011100001100101…
…00111011100110111010000
312222000110102001021022110220
422111300302213130313100
521430034233002321223
6240415211410153040
712402346520013021
oct1225606247346720
9188013361238426
1045475962932688
111354327a579642
125125667b82780
131c4b498902732
14b3309695ac48
1553ce02bac6e3
hex295c329dcdd0

45475962932688 has 80 divisors (see below), whose sum is σ = 118295844581376. Its totient is φ = 15053599108480.

The previous prime is 45475962932597. The next prime is 45475962932689. The reversal of 45475962932688 is 88623926957454.

45475962932688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45475962932689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156495 + ... + 9606737.

Almost surely, 245475962932688 is an apocalyptic number.

45475962932688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45475962932688 is an abundant number, since it is smaller than the sum of its proper divisors (72819881648688).

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

45475962932688 is a wasteful number, since it uses less digits than its factorization.

45475962932688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8451032 (or 8451026 counting only the distinct ones).

The product of its digits is 6270566400, while the sum is 78.

The spelling of 45475962932688 in words is "forty-five trillion, four hundred seventy-five billion, nine hundred sixty-two million, nine hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 573 587 764 1146 1174 1528 1761 2292 2348 3056 3522 4584 4696 7044 9168 9392 14088 28176 112117 224234 336351 448468 672702 896936 1345404 1793872 2690808 5381616 8450243 16900486 25350729 33800972 50701458 67601944 101402916 135203888 202805832 405611664 1613996413 3227992826 4841989239 4960292641 6455985652 9683978478 9920585282 12911971304 14880877923 19367956956 19841170564 25823942608 29761755846 38735913912 39682341128 59523511692 77471827824 79364682256 119047023384 238094046768 947415894431 1894831788862 2842247683293 3789663577724 5684495366586 7579327155448 11368990733172 15158654310896 22737981466344 45475962932688