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64430125236444 = 2231110138929174259
BaseRepresentation
bin11101010011001010011101…
…01110100100000011011100
322110010110102012121011101010
432221211032232210003130
531421110344030031234
6345010442501015220
716366631365222332
oct1651451656440334
9273113365534333
1064430125236444
11195907320080a0
127286ba66b4510
1329c49722b8846
1411ca612b63b52
1576ae9706c6e9
hex3a994eba40dc

64430125236444 has 192 divisors, whose sum is σ = 166149463334400. Its totient is φ = 19270141056000.

The previous prime is 64430125236443. The next prime is 64430125236461. The reversal of 64430125236444 is 44463252103446.

64430125236444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64430125236393 and 64430125236402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64430125236443) 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 63 ways as a sum of consecutive naturals, for example, 15127991587 + ... + 15127995845.

It is an arithmetic number, because the mean of its divisors is an integer number (865361788200).

Almost surely, 264430125236444 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 64430125236444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83074731667200).

64430125236444 is an abundant number, since it is smaller than the sum of its proper divisors (101719338097956).

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

64430125236444 is a wasteful number, since it uses less digits than its factorization.

64430125236444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 64430125236444 in words is "sixty-four trillion, four hundred thirty billion, one hundred twenty-five million, two hundred thirty-six thousand, four hundred forty-four".