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5100294656 = 2971173811
BaseRepresentation
bin1001100000000000…
…00101001000000000
3111011110002210222002
410300000011020000
540421133412111
62202033003132
7240250534502
oct46000051000
914143083862
105100294656
112187a8a956
12ba40b34a8
13633876542
1436552bd72
151ecb6863b
hex130005200

5100294656 has 80 divisors (see below), whose sum is σ = 10406708928. Its totient is φ = 2496614400.

The previous prime is 5100294653. The next prime is 5100294673. The reversal of 5100294656 is 6564920015.

It is not an unprimeable number, because it can be changed into a prime (5100294653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6288491 + ... + 6289301.

Almost surely, 25100294656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5100294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203354464).

5100294656 is an abundant number, since it is smaller than the sum of its proper divisors (5306414272).

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

5100294656 is an equidigital number, since it uses as much as digits as its factorization.

5100294656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 5100294656 is about 71416.3472602737. The cubic root of 5100294656 is about 1721.3337698628. Note that the first 3 decimals are identical.

The spelling of 5100294656 in words is "five billion, one hundred million, two hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 173 256 284 346 512 568 692 811 1136 1384 1622 2272 2768 3244 4544 5536 6488 9088 11072 12283 12976 18176 22144 24566 25952 36352 44288 49132 51904 57581 88576 98264 103808 115162 140303 196528 207616 230324 280606 393056 415232 460648 561212 786112 921296 1122424 1572224 1842592 2244848 3144448 3685184 4489696 6288896 7370368 8979392 9961513 14740736 17958784 19923026 29481472 35917568 39846052 71835136 79692104 159384208 318768416 637536832 1275073664 2550147328 5100294656