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26057463432 = 233721113891741
BaseRepresentation
bin11000010001001001…
…010101011010001000
32111020222201021221020
4120101021111122020
5411331202312212
615545353512440
71611504533100
oct302111253210
974228637836
1026057463432
1110061838a50
125072712720
1325c3642c20
1413929b2200
15a27954d8c
hex611255688

26057463432 has 384 divisors, whose sum is σ = 90079516800. Its totient is φ = 6173798400.

The previous prime is 26057463361. The next prime is 26057463437. The reversal of 26057463432 is 23436475062.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26057463437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14966082 + ... + 14967822.

It is an arithmetic number, because the mean of its divisors is an integer number (234582075).

Almost surely, 226057463432 is an apocalyptic number.

26057463432 is a gapful number since it is divisible by the number (22) 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 26057463432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45039758400).

26057463432 is an abundant number, since it is smaller than the sum of its proper divisors (64022053368).

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

26057463432 is a wasteful number, since it uses less digits than its factorization.

26057463432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 26057463432 in words is "twenty-six billion, fifty-seven million, four hundred sixty-three thousand, four hundred thirty-two".