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53131553140 = 22541180135977
BaseRepresentation
bin110001011110111000…
…110010100101110100
312002010211101112221111
4301132320302211310
51332303134200030
640224105324404
73560435515201
oct613670624564
9162124345844
1053131553140
11205954162a6
12a369796704
135019794953
1428005bcca8
1515ae77262a
hexc5ee32974

53131553140 has 48 divisors (see below), whose sum is σ = 114364275984. Its totient is φ = 20722176000.

The previous prime is 53131553131. The next prime is 53131553147. The reversal of 53131553140 is 4135513135.

It can be written as a sum of positive squares in 8 ways, for example, as 3332060176 + 49799492964 = 57724^2 + 223158^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53131553147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458832 + ... + 1494808.

It is an arithmetic number, because the mean of its divisors is an integer number (2382589083).

Almost surely, 253131553140 is an apocalyptic number.

It is an amenable number.

53131553140 is an abundant number, since it is smaller than the sum of its proper divisors (61232722844).

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

53131553140 is a wasteful number, since it uses less digits than its factorization.

53131553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37828 (or 37826 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 53131553140 in words is "fifty-three billion, one hundred thirty-one million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1801 3602 7204 9005 18010 35977 36020 71954 73841 143908 147682 179885 295364 359770 369205 719540 738410 1475057 1476820 2950114 5900228 7375285 14750570 29501140 64794577 129589154 259178308 323972885 647945770 1295891540 2656577657 5313155314 10626310628 13282888285 26565776570 53131553140