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51148797921 = 3413219332
BaseRepresentation
bin101111101000101101…
…001011011111100001
311220000122111011010000
4233220231023133201
51314223043013141
635255240130213
73460341415554
oct575055133741
9156018434100
1051148797921
111a768187a21
129ab5766969
134a91a77900
14269313269b
1514e56695b6
hexbe8b4b7e1

51148797921 has 45 divisors (see below), whose sum is σ = 82779900489. Its totient is φ = 31459899744.

The previous prime is 51148797881. The next prime is 51148797929. The reversal of 51148797921 is 12979784115.

The square root of 51148797921 is 226161.

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

51148797921 is a `hidden beast` number, since 51 + 1 + 487 + 97 + 9 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2130837921 + 49017960000 = 46161^2 + 221400^2 .

It is not a de Polignac number, because 51148797921 - 225 = 51115243489 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51148797929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26459871 + ... + 26461803.

Almost surely, 251148797921 is an apocalyptic number.

51148797921 is the 226161-st square number.

51148797921 is the 113081-st centered octagonal number.

It is an amenable number.

51148797921 is a deficient number, since it is larger than the sum of its proper divisors (31631102568).

51148797921 is an frugal number, since it uses more digits than its factorization.

51148797921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 1949 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 51148797921 in words is "fifty-one billion, one hundred forty-eight million, seven hundred ninety-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 1933 4563 5799 13689 17397 25129 52191 75387 156573 226161 326677 678483 980031 2035449 2940093 3736489 8820279 11209467 26460837 33628401 48574357 100885203 145723071 302655609 437169213 631466641 1311507639 1894399923 3934522917 5683199769 17049599307 51148797921