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56926142464 = 2202332
BaseRepresentation
bin110101000001000100…
…000000000000000000
312102221021120122220211
4311001010000000000
51413041043024324
642052420443504
74053453140632
oct650104000000
9172837518824
1056926142464
1122162361434
12b048549594
1354a2986389
142a80542a52
151732970294
hexd41100000

56926142464 has 63 divisors (see below), whose sum is σ = 114342963973. Its totient is φ = 28340912128.

The previous prime is 56926142447. The next prime is 56926142509. The reversal of 56926142464 is 46424162965.

The square root of 56926142464 is 238592.

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

It can be written as a sum of positive squares in only one way, i.e., 11560550400 + 45365592064 = 107520^2 + 212992^2 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 244318092 + ... + 244318324.

Almost surely, 256926142464 is an apocalyptic number.

56926142464 is the 238592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56926142464

56926142464 is an abundant number, since it is smaller than the sum of its proper divisors (57416821509).

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

56926142464 is an frugal number, since it uses more digits than its factorization.

56926142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 235 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

Multiplying 56926142464 by its sum of digits (49), we get a square (2789380980736 = 16701442).

The spelling of 56926142464 in words is "fifty-six billion, nine hundred twenty-six million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 233 256 466 512 932 1024 1864 2048 3728 4096 7456 8192 14912 16384 29824 32768 54289 59648 65536 108578 119296 131072 217156 238592 262144 434312 477184 524288 868624 954368 1048576 1737248 1908736 3474496 3817472 6948992 7634944 13897984 15269888 27795968 30539776 55591936 61079552 111183872 122159104 222367744 244318208 444735488 889470976 1778941952 3557883904 7115767808 14231535616 28463071232 56926142464