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5043694656 = 26372111323163
BaseRepresentation
bin1001011001010000…
…01010110001000000
3111000111121020100210
410230220022301000
540312141212111
62152251514120
7235662461100
oct45450126100
914014536323
105043694656
1121590414a0
12b89158940
13624c1a010
1435bbd7200
151e7bd80a6
hex12ca0ac40

5043694656 has 672 divisors, whose sum is σ = 19147097088. Its totient is φ = 1149603840.

The previous prime is 5043694573. The next prime is 5043694673. The reversal of 5043694656 is 6564963405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30942831 + ... + 30942993.

It is an arithmetic number, because the mean of its divisors is an integer number (28492704).

Almost surely, 25043694656 is an apocalyptic number.

5043694656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5043694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9573548544).

5043694656 is an abundant number, since it is smaller than the sum of its proper divisors (14103402432).

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

5043694656 is a wasteful number, since it uses less digits than its factorization.

5043694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The square root of 5043694656 is about 71018.9739154263. The cubic root of 5043694656 is about 1714.9426275407.

The spelling of 5043694656 in words is "five billion, forty-three million, six hundred ninety-four thousand, six hundred fifty-six".