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55724075100736 = 267413721392
BaseRepresentation
bin11001010101110010001011…
…01100111010101001000000
321022022011120121022121211121
430222321011230322221000
524300440401211210421
6314303141532122024
714510634346120000
oct1452710554725100
9238264517277747
1055724075100736
11168344a1741809
1262bb848006314
1325129b09868c3
14da90b9880000
1566979ed11d41
hex32ae45b3aa40

55724075100736 has 315 divisors, whose sum is σ = 130889439100329. Its totient is φ = 23536870124544.

The previous prime is 55724075100703. The next prime is 55724075100751. The reversal of 55724075100736 is 63700157042755.

The square root of 55724075100736 is 7464856.

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., 32732587137600 + 22991487963136 = 5721240^2 + 4794944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 400892626555 + ... + 400892626693.

Almost surely, 255724075100736 is an apocalyptic number.

55724075100736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

55724075100736 is the 7464856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55724075100736

55724075100736 is an abundant number, since it is smaller than the sum of its proper divisors (75165363999593).

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

55724075100736 is an frugal number, since it uses more digits than its factorization.

55724075100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 52.

The spelling of 55724075100736 in words is "fifty-five trillion, seven hundred twenty-four billion, seventy-five million, one hundred thousand, seven hundred thirty-six".