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51512223204 = 223213409269117
BaseRepresentation
bin101111111110010111…
…100010010111100100
311220221222100001212200
4233332113202113210
51320444112120304
635355301414500
73502343446521
oct577627422744
9156858301780
1051512223204
111a9343417a2
129b9740a430
134b1c151760
1426c94d6148
151517505e39
hexbfe5e25e4

51512223204 has 72 divisors (see below), whose sum is σ = 140571096120. Its totient is φ = 15811103232.

The previous prime is 51512223193. The next prime is 51512223307. The reversal of 51512223204 is 40232221515.

51512223204 is a `hidden beast` number, since 515 + 122 + 2 + 3 + 20 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5373183204 + 46139040000 = 73302^2 + 214800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56854 + ... + 325970.

It is an arithmetic number, because the mean of its divisors is an integer number (1952376335).

Almost surely, 251512223204 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 51512223204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70285548060).

51512223204 is an abundant number, since it is smaller than the sum of its proper divisors (89058872916).

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

51512223204 is a wasteful number, since it uses less digits than its factorization.

51512223204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269549 (or 269544 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 51512223204 its reverse (40232221515), we get a palindrome (91744444719).

The spelling of 51512223204 in words is "fifty-one billion, five hundred twelve million, two hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 409 468 818 1227 1636 2454 3681 4908 5317 7362 10634 14724 15951 21268 31902 47853 63804 95706 191412 269117 538234 807351 1076468 1614702 2422053 3229404 3498521 4844106 6997042 9688212 10495563 13994084 20991126 31486689 41982252 62973378 110068853 125946756 220137706 330206559 440275412 660413118 990619677 1320826236 1430895089 1981239354 2861790178 3962478708 4292685267 5723580356 8585370534 12878055801 17170741068 25756111602 51512223204