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5256515124 = 22327173139581
BaseRepresentation
bin1001110010101000…
…00000111000110100
3111120100001122011100
410321110000320310
541231131440444
62225333210100
7244155432660
oct47124007064
914510048140
105256515124
112258190683
121028490930
1365a0428a3
1437c1958a0
1520b725e69
hex139500e34

5256515124 has 144 divisors (see below), whose sum is σ = 16597840896. Its totient is φ = 1367884800.

The previous prime is 5256515113. The next prime is 5256515137. The reversal of 5256515124 is 4215156525.

5256515124 is a `hidden beast` number, since 525 + 6 + 5 + 1 + 5 + 124 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113014 + ... + 152594.

It is an arithmetic number, because the mean of its divisors is an integer number (115262784).

Almost surely, 25256515124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5256515124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298920448).

5256515124 is an abundant number, since it is smaller than the sum of its proper divisors (11341325772).

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

5256515124 is a wasteful number, since it uses less digits than its factorization.

5256515124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39646 (or 39641 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 5256515124 is about 72501.8284183234. The cubic root of 5256515124 is about 1738.7319695242.

The spelling of 5256515124 in words is "five billion, two hundred fifty-six million, five hundred fifteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 9486 11067 14756 18972 22134 33201 39581 44268 66402 79162 118743 132804 158324 237486 277067 356229 474972 554134 672877 712458 831201 1108268 1227011 1345754 1424916 1662402 2018631 2454022 2493603 2691508 3324804 3681033 4037262 4710139 4908044 4987206 6055893 7362066 8074524 8589077 9420278 9974412 11043099 12111786 14130417 14724132 17178154 18840556 20859187 22086198 24223572 25767231 28260834 34356308 41718374 42391251 44172396 51534462 56521668 62577561 77301693 83436748 84782502 103068924 125155122 146014309 154603386 169565004 187732683 250310244 292028618 309206772 375465366 438042927 584057236 750930732 876085854 1314128781 1752171708 2628257562 5256515124