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53462520131 = 1923596613137
BaseRepresentation
bin110001110010100111…
…010101000101000011
312002222220011102022012
4301302213111011003
51333442401121011
640321011203135
73601564631426
oct616247250503
9162886142265
1053462520131
1120745220739
12a4405a64ab
1350702158c7
1428325339bd
1515cd84ba8b
hexc729d5143

53462520131 has 32 divisors (see below), whose sum is σ = 59827852800. Its totient is φ = 47538247680.

The previous prime is 53462520121. The next prime is 53462520151. The reversal of 53462520131 is 13102526435.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 53462520131 - 214 = 53462503747 is a prime.

It is a super-2 number, since 2×534625201312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53462520121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17040995 + ... + 17044131.

It is an arithmetic number, because the mean of its divisors is an integer number (1869620400).

Almost surely, 253462520131 is an apocalyptic number.

53462520131 is a deficient number, since it is larger than the sum of its proper divisors (6365332669).

53462520131 is a wasteful number, since it uses less digits than its factorization.

53462520131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 53462520131 in words is "fifty-three billion, four hundred sixty-two million, five hundred twenty thousand, one hundred thirty-one".

Divisors: 1 19 23 59 437 661 1121 1357 3137 12559 15203 25783 38999 59603 72151 185083 288857 740981 896977 1370869 2073557 3516577 4256909 17042563 39397583 47691811 80881271 122339863 906144409 2324457397 2813816849 53462520131