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513251375238 = 23372193972553
BaseRepresentation
bin1110111100000000010…
…10100111100010000110
31211001210101000022201000
413132000022213202012
531402114323001423
61031441234114130
752036563464400
oct7360012474206
91731711008630
10513251375238
1118873a025888
128357aa1b946
1339526624104
141abad105b70
15d53e18b843
hex77802a7886

513251375238 has 48 divisors (see below), whose sum is σ = 1326772269360. Its totient is φ = 146643249312.

The previous prime is 513251375213. The next prime is 513251375251. The reversal of 513251375238 is 832573152315.

513251375238 is a `hidden beast` number, since 5 + 1 + 3 + 251 + 375 + 23 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 513251375193 and 513251375202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96983631 + ... + 96988922.

It is an arithmetic number, because the mean of its divisors is an integer number (27641088945).

Almost surely, 2513251375238 is an apocalyptic number.

513251375238 is an abundant number, since it is smaller than the sum of its proper divisors (813520894122).

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

513251375238 is a wasteful number, since it uses less digits than its factorization.

513251375238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193972578 (or 193972565 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The spelling of 513251375238 in words is "five hundred thirteen billion, two hundred fifty-one million, three hundred seventy-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 193972553 387945106 581917659 1163835318 1357807871 1745752977 2715615742 3491505954 4073423613 5237258931 8146847226 9504655097 10474517862 12220270839 19009310194 24440541678 28513965291 36660812517 57027930582 73321625034 85541895873 171083791746 256625687619 513251375238