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51871366656 = 293310933433
BaseRepresentation
bin110000010011110001…
…100011111000000000
311221220000010110002000
4300103301203320000
51322213032213111
635455051224000
73514264225134
oct602361437000
9157800113060
1051871366656
111aaa904156a
12a077748000
134b78689685
1427210a33c4
151538ce8c56
hexc13c63e00

51871366656 has 160 divisors (see below), whose sum is σ = 153728092320. Its totient is φ = 17269604352.

The previous prime is 51871366649. The next prime is 51871366667. The reversal of 51871366656 is 65666317815.

It is a super-2 number, since 2×518713666562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 15107916 + ... + 15111348.

It is an arithmetic number, because the mean of its divisors is an integer number (960800577).

Almost surely, 251871366656 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 51871366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76864046160).

51871366656 is an abundant number, since it is smaller than the sum of its proper divisors (101856725664).

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

51871366656 is a wasteful number, since it uses less digits than its factorization.

51871366656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553 (or 4531 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 51871366656 in words is "fifty-one billion, eight hundred seventy-one million, three hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1093 1152 1536 1728 2186 2304 3279 3433 3456 4372 4608 6558 6866 6912 8744 9837 10299 13116 13732 13824 17488 19674 20598 26232 27464 29511 30897 34976 39348 41196 52464 54928 59022 61794 69952 78696 82392 92691 104928 109856 118044 123588 139904 157392 164784 185382 209856 219712 236088 247176 279808 314784 329568 370764 419712 439424 472176 494352 559616 629568 659136 741528 839424 878848 944352 988704 1259136 1318272 1483056 1678848 1757696 1888704 1977408 2518272 2636544 2966112 3752269 3777408 3954816 5036544 5273088 5932224 7504538 7554816 7909632 11256807 11864448 15009076 15109632 15819264 22513614 23728896 30018152 33770421 45027228 47457792 60036304 67540842 90054456 101311263 120072608 135081684 180108912 202622526 240145216 270163368 360217824 405245052 480290432 540326736 720435648 810490104 960580864 1080653472 1440871296 1620980208 1921161728 2161306944 2881742592 3241960416 4322613888 5763485184 6483920832 8645227776 12967841664 17290455552 25935683328 51871366656