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57449710032 = 243112134716189
BaseRepresentation
bin110101100000010001…
…010000000111010000
312111021202202122121020
4311200101100013100
51420124111210112
642220402355440
74102441322661
oct654021200720
9174252678536
1057449710032
1122400955500
12b17395bb80
1355572a0680
142acdcb1368
1517638e148c
hexd604501d0

57449710032 has 240 divisors, whose sum is σ = 179427682560. Its totient is φ = 15726965760.

The previous prime is 57449709991. The next prime is 57449710033. The reversal of 57449710032 is 23001794475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57449710033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3540594 + ... + 3556782.

It is an arithmetic number, because the mean of its divisors is an integer number (747615344).

Almost surely, 257449710032 is an apocalyptic number.

57449710032 is a gapful number since it is divisible by the number (52) 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 57449710032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89713841280).

57449710032 is an abundant number, since it is smaller than the sum of its proper divisors (121977972528).

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

57449710032 is a wasteful number, since it uses less digits than its factorization.

57449710032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16282 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 57449710032 in words is "fifty-seven billion, four hundred forty-nine million, seven hundred ten thousand, thirty-two".