Search a number
-
+
50808766464 = 214325872
BaseRepresentation
bin101111010100011100…
…000100000000000000
311212010221122202122100
4233110130010000000
51313024021011324
635201412110400
73446042250321
oct572434040000
9155127582570
1050808766464
111a603251295
129a1b905400
134a394a1b71
14265dcdc448
1514c589e4c9
hexbd4704000

50808766464 has 135 divisors (see below), whose sum is σ = 147026872447. Its totient is φ = 16907403264.

The previous prime is 50808766453. The next prime is 50808766471. The reversal of 50808766464 is 46466780805.

The square root of 50808766464 is 225408.

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

50808766464 is a `hidden beast` number, since 508 + 0 + 8 + 76 + 6 + 4 + 64 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 50808766464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86556379 + ... + 86556965.

Almost surely, 250808766464 is an apocalyptic number.

50808766464 is the 225408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50808766464

50808766464 is an abundant number, since it is smaller than the sum of its proper divisors (96218105983).

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

50808766464 is an frugal number, since it uses more digits than its factorization.

50808766464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 50808766464 in words is "fifty billion, eight hundred eight million, seven hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 587 768 1024 1152 1174 1536 1761 2048 2304 2348 3072 3522 4096 4608 4696 5283 6144 7044 8192 9216 9392 10566 12288 14088 16384 18432 18784 21132 24576 28176 36864 37568 42264 49152 56352 73728 75136 84528 112704 147456 150272 169056 225408 300544 338112 344569 450816 601088 676224 689138 901632 1033707 1202176 1352448 1378276 1803264 2067414 2404352 2704896 2756552 3101121 3606528 4134828 4808704 5409792 5513104 6202242 7213056 8269656 9617408 10819584 11026208 12404484 14426112 16539312 21639168 22052416 24808968 28852224 33078624 43278336 44104832 49617936 66157248 86556672 88209664 99235872 132314496 176419328 198471744 264628992 352838656 396943488 529257984 705677312 793886976 1058515968 1411354624 1587773952 2117031936 2822709248 3175547904 4234063872 5645418496 6351095808 8468127744 12702191616 16936255488 25404383232 50808766464