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51861863824 = 241741972
BaseRepresentation
bin110000010011001101…
…010011110110010000
311221212100020122122021
4300103031103312100
51322203114120244
635454111421224
73514120366111
oct602315236620
9157770218567
1051861863824
111aaa3740991
12a074524814
134b767101b4
14271db0c208
15153806d284
hexc13353d90

51861863824 has 75 divisors (see below), whose sum is σ = 107307125797. Its totient is φ = 24281696768.

The previous prime is 51861863803. The next prime is 51861863863. The reversal of 51861863824 is 42836816815.

It is a happy number.

The square root of 51861863824 is 227732.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9741690000 + 42120173824 = 98700^2 + 205232^2 .

It is a Duffinian number.

Its product of digits (2211840) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 263258094 + ... + 263258290.

Almost surely, 251861863824 is an apocalyptic number.

51861863824 is the 227732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51861863824

51861863824 is an abundant number, since it is smaller than the sum of its proper divisors (55445261973).

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

51861863824 is an frugal number, since it uses more digits than its factorization.

51861863824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 216 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 52.

The spelling of 51861863824 in words is "fifty-one billion, eight hundred sixty-one million, eight hundred sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 197 272 289 394 578 788 1156 1576 2312 3152 3349 4624 4913 6698 9826 13396 19652 26792 38809 39304 53584 56933 77618 78608 83521 113866 155236 167042 227732 310472 334084 455464 620944 659753 668168 910928 967861 1319506 1336336 1935722 2639012 3871444 5278024 7742888 10556048 11215801 15485776 16453637 22431602 32907274 44863204 65814548 89726408 131629096 179452816 190668617 263258192 381337234 762674468 1525348936 3050697872 3241366489 6482732978 12965465956 25930931912 51861863824