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54138683145 = 3517349941809
BaseRepresentation
bin110010011010111010…
…101011111100001001
312011202000111001120210
4302122322223330021
51341334000330040
640512043511333
73624415133241
oct623272537411
9164660431523
1054138683145
1120a61969a48
12a5aab28549
13514a32a271
142898264b21
15161cdb1480
hexc9aeabf09

54138683145 has 32 divisors (see below), whose sum is σ = 87299280000. Its totient is φ = 28648848384.

The previous prime is 54138683129. The next prime is 54138683213.

54138683145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54138683145 - 24 = 54138683129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54138683094 and 54138683103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274001 + ... + 1315809.

It is an arithmetic number, because the mean of its divisors is an integer number (2728102500).

Almost surely, 254138683145 is an apocalyptic number.

It is an amenable number.

54138683145 is a deficient number, since it is larger than the sum of its proper divisors (33160596855).

54138683145 is a wasteful number, since it uses less digits than its factorization.

54138683145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42489.

The product of its digits is 1382400, while the sum is 48.

The spelling of 54138683145 in words is "fifty-four billion, one hundred thirty-eight million, six hundred eighty-three thousand, one hundred forty-five".

Divisors: 1 3 5 15 173 499 519 865 1497 2495 2595 7485 41809 86327 125427 209045 258981 431635 627135 1294905 7232957 20862691 21698871 36164785 62588073 104313455 108494355 312940365 3609245543 10827736629 18046227715 54138683145