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5257112976 = 243322753609
BaseRepresentation
bin1001110010101100…
…10010110110010000
3111120101012000021000
410321112102312100
541231310103401
62225354102000
7244163502663
oct47126226620
914511160230
105257112976
112258559875
12102871a900
1365a1c1a4b
1437c2ad6da
1520b7e3186
hex139592d90

5257112976 has 80 divisors (see below), whose sum is σ = 15156619200. Its totient is φ = 1744618752.

The previous prime is 5257112969. The next prime is 5257113007. The reversal of 5257112976 is 6792117525.

5257112976 is a `hidden beast` number, since 5 + 2 + 571 + 1 + 2 + 9 + 76 = 666.

It is a super-3 number, since 3×52571129763 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71260 + ... + 124868.

It is an arithmetic number, because the mean of its divisors is an integer number (189457740).

Almost surely, 25257112976 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 5257112976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578309600).

5257112976 is an abundant number, since it is smaller than the sum of its proper divisors (9899506224).

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

5257112976 is a wasteful number, since it uses less digits than its factorization.

5257112976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53853 (or 53841 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 5257112976 is about 72505.9513143576. The cubic root of 5257112976 is about 1738.7978855004.

The spelling of 5257112976 in words is "five billion, two hundred fifty-seven million, one hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 227 432 454 681 908 1362 1816 2043 2724 3632 4086 5448 6129 8172 10896 12258 16344 24516 32688 49032 53609 98064 107218 160827 214436 321654 428872 482481 643308 857744 964962 1286616 1447443 1929924 2573232 2894886 3859848 5789772 7719696 11579544 12169243 23159088 24338486 36507729 48676972 73015458 97353944 109523187 146030916 194707888 219046374 292061832 328569561 438092748 584123664 657139122 876185496 1314278244 1752370992 2628556488 5257112976