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57129216100 = 22521151935651
BaseRepresentation
bin110101001101001010…
…101010100001100100
312110110102200212120121
4311031022222201210
51414000034403400
642124513211324
74061500216225
oct651512524144
9173412625517
1057129216100
1122256a53690
12b0a4560b44
135505a786a8
142a9d4c524c
1517456d521a
hexd4d2aa864

57129216100 has 36 divisors (see below), whose sum is σ = 135240437808. Its totient is φ = 20774260000.

The previous prime is 57129216059. The next prime is 57129216107. The reversal of 57129216100 is 161292175.

It is not an unprimeable number, because it can be changed into a prime (57129216107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25966726 + ... + 25968925.

It is an arithmetic number, because the mean of its divisors is an integer number (3756678828).

Almost surely, 257129216100 is an apocalyptic number.

57129216100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57129216100 is an abundant number, since it is smaller than the sum of its proper divisors (78111221708).

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

57129216100 is a wasteful number, since it uses less digits than its factorization.

57129216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51935676 (or 51935669 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 57129216100 in words is "fifty-seven billion, one hundred twenty-nine million, two hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 51935651 103871302 207742604 259678255 519356510 571292161 1038713020 1142584322 1298391275 2285168644 2596782550 2856460805 5193565100 5712921610 11425843220 14282304025 28564608050 57129216100