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55680053121 = 32711791017043
BaseRepresentation
bin110011110110110010…
…100010111110000001
312022201102211202200200
4303312302202332001
51403013043144441
641325024435413
74010542433250
oct636662427601
9168642752620
1055680053121
1121682a36030
12a95b178b69
1353347757c4
1429a2c56797
1516ad37d7b6
hexcf6ca2f81

55680053121 has 48 divisors (see below), whose sum is σ = 101541672960. Its totient is φ = 28558539360.

The previous prime is 55680053101. The next prime is 55680053179. The reversal of 55680053121 is 12135008655.

It is a happy number.

55680053121 is a `hidden beast` number, since 556 + 80 + 0 + 5 + 3 + 1 + 21 = 666.

It is not a de Polignac number, because 55680053121 - 25 = 55680053089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (55680053101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453775 + ... + 563268.

It is an arithmetic number, because the mean of its divisors is an integer number (2115451520).

Almost surely, 255680053121 is an apocalyptic number.

It is an amenable number.

55680053121 is a deficient number, since it is larger than the sum of its proper divisors (45861619839).

55680053121 is a wasteful number, since it uses less digits than its factorization.

55680053121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017146 (or 1017143 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 55680053121 in words is "fifty-five billion, six hundred eighty million, fifty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 79 99 231 237 553 693 711 869 1659 2607 4977 6083 7821 18249 54747 1017043 3051129 7119301 9153387 11187473 21357903 33562419 64073709 78312311 80346397 100687257 234936933 241039191 562424779 704810799 723117573 883810367 1687274337 2651431101 5061823011 6186672569 7954293303 18560017707 55680053121