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382023250467456 = 2731376527093443
BaseRepresentation
bin101011011011100101011100…
…0001000111101101010000000
31212002122001210011111120210110
41112313022320020331222000
5400033032104104424311
63432255020344031320
7143316161164045053
oct12667127010755200
91762561704446713
10382023250467456
111007a7172621804
1236a1a7b9762540
131352183a734940
146a4a049b26a9a
152e2747c55c8a6
hex15b72b823da80

382023250467456 has 64 divisors (see below), whose sum is σ = 1092806894380320. Its totient is φ = 117545615526912.

The previous prime is 382023250467451. The next prime is 382023250467473. The reversal of 382023250467456 is 654764052320283.

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

It is a super-2 number, since 2×3820232504674562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382023250467396 and 382023250467405.

It is not an unprimeable number, because it can be changed into a prime (382023250467451) 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 7 ways as a sum of consecutive naturals, for example, 38263541730 + ... + 38263551713.

Almost surely, 2382023250467456 is an apocalyptic number.

It is an amenable number.

382023250467456 is an abundant number, since it is smaller than the sum of its proper divisors (710783643912864).

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

382023250467456 is a wasteful number, since it uses less digits than its factorization.

382023250467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76527093473 (or 76527093461 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 57.

The spelling of 382023250467456 in words is "three hundred eighty-two trillion, twenty-three billion, two hundred fifty million, four hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 76527093443 153054186886 229581280329 306108373772 459162560658 612216747544 918325121316 994852214759 1224433495088 1836650242632 1989704429518 2448866990176 2984556644277 3673300485264 3979408859036 4897733980352 5969113288554 7346600970528 7958817718072 9795467960704 11938226577108 14693201941056 15917635436144 23876453154216 29386403882112 31835270872288 47752906308432 63670541744576 95505812616864 127341083489152 191011625233728 382023250467456