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56411950144 = 2611226992
BaseRepresentation
bin110100100010011010…
…100000110001000000
312101121110000222122211
4310202122200301000
51411012424401034
641525411511504
74034640443644
oct644232406100
9171543028584
1056411950144
1121a19091100
12ab242b8594
1354202a2474
142a32134c24
151702751d64
hexd226a0c40

56411950144 has 63 divisors (see below), whose sum is σ = 123089801191. Its totient is φ = 25632295040.

The previous prime is 56411950123. The next prime is 56411950183. The reversal of 56411950144 is 44105911465.

The square root of 56411950144 is 237512.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56411950097 and 56411950106.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20899707 + ... + 20902405.

Almost surely, 256411950144 is an apocalyptic number.

56411950144 is the 237512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56411950144

56411950144 is an abundant number, since it is smaller than the sum of its proper divisors (66677851047).

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

56411950144 is an frugal number, since it uses more digits than its factorization.

56411950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 56411950144 in words is "fifty-six billion, four hundred eleven million, nine hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 2699 3872 5398 7744 10796 21592 29689 43184 59378 86368 118756 172736 237512 326579 475024 653158 950048 1306316 1900096 2612632 5225264 7284601 10450528 14569202 20901056 29138404 58276808 80130611 116553616 160261222 233107232 320522444 466214464 641044888 881436721 1282089776 1762873442 2564179552 3525746884 5128359104 7051493768 14102987536 28205975072 56411950144