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50336512164 = 22326126132
BaseRepresentation
bin101110111000010010…
…100011100010100100
311210221001000202112100
4232320102203202210
51311042121342124
635042502052100
73431246202531
oct567022434244
9153831022470
1050336512164
111a390715684
12990971a030
1349926b2953
1426172c9d88
1514991b71c9
hexbb84a38a4

50336512164 has 81 divisors (see below), whose sum is σ = 129570976899. Its totient is φ = 16476851520.

The previous prime is 50336512153. The next prime is 50336512181. The reversal of 50336512164 is 46121563305.

The square root of 50336512164 is 224358.

It is a perfect power (a square), and thus also a powerful number.

50336512164 is a `hidden beast` number, since 50 + 3 + 36 + 512 + 1 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47528360100 + 2808152064 = 218010^2 + 52992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82114722 + ... + 82115334.

Almost surely, 250336512164 is an apocalyptic number.

50336512164 is the 224358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50336512164

50336512164 is an abundant number, since it is smaller than the sum of its proper divisors (79234464735).

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

50336512164 is an equidigital number, since it uses as much as digits as its factorization.

50336512164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 50336512164 by its sum of digits (36), we get a square (1812114437904 = 13461482).

50336512164 divided by its sum of digits (36) gives a square (1398236449 = 373932).

It can be divided in two parts, 50336 and 512164, that added together give a square (562500 = 7502).

The spelling of 50336512164 in words is "fifty billion, three hundred thirty-six million, five hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 613 732 1098 1226 1839 2196 2452 3678 3721 5517 7356 7442 11034 11163 14884 22068 22326 33489 37393 44652 66978 74786 112179 133956 149572 224358 336537 375769 448716 673074 751538 1127307 1346148 1503076 2254614 2280973 3381921 4509228 4561946 6763842 6842919 9123892 13527684 13685838 20528757 22921909 27371676 41057514 45843818 68765727 82115028 91687636 137531454 206297181 275062908 412594362 825188724 1398236449 2796472898 4194709347 5592945796 8389418694 12584128041 16778837388 25168256082 50336512164