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56993922756 = 223644212
BaseRepresentation
bin110101000101000110…
…100011111011000100
312110010000010021000000
4311011012203323010
51413210421012011
642103241321300
74055235231051
oct650506437304
9173100107000
1056993922756
1122197646801
12b067196230
1354b3a28764
142a89548028
1517388ad356
hexd451a3ec4

56993922756 has 63 divisors (see below), whose sum is σ = 149574471613. Its totient is φ = 18993677040.

The previous prime is 56993922751. The next prime is 56993922761. The reversal of 56993922756 is 65722939965.

The square root of 56993922756 is 238734.

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

It is an interprime number because it is at equal distance from previous prime (56993922751) and next prime (56993922761).

It can be written as a sum of positive squares in only one way, i.e., 47334964356 + 9658958400 = 217566^2 + 98280^2 .

It is a super-2 number, since 2×569939227562 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56993922693 and 56993922702.

It is not an unprimeable number, because it can be changed into a prime (56993922751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12889426 + ... + 12893846.

Almost surely, 256993922756 is an apocalyptic number.

56993922756 is the 238734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56993922756

56993922756 is an abundant number, since it is smaller than the sum of its proper divisors (92580548857).

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

56993922756 is an frugal number, since it uses more digits than its factorization.

56993922756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8864 (or 4426 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 56993922756 in words is "fifty-six billion, nine hundred ninety-three million, nine hundred twenty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 4421 8842 13263 17684 26526 39789 53052 79578 119367 159156 238734 358101 477468 716202 1074303 1432404 2148606 3222909 4297212 6445818 12891636 19545241 39090482 58635723 78180964 117271446 175907169 234542892 351814338 527721507 703628676 1055443014 1583164521 2110886028 3166329042 4749493563 6332658084 9498987126 14248480689 18997974252 28496961378 56993922756