Search a number
-
+
57460677606475 = 52111316072916813
BaseRepresentation
bin11010001000010100110110…
…10001101111110001001011
321112110012001102022101121021
431010022123101233301023
530012413431431401400
6322113023150453311
715050253104633203
oct1504123321576113
9245405042271537
1057460677606475
1117343a3356a640
126540320804237
13260a6986154a0
14102917c481403
15699a3dc0771a
hex34429b46fc4b

57460677606475 has 24 divisors (see below), whose sum is σ = 83707750767312. Its totient is φ = 38575000348800.

The previous prime is 57460677606473. The next prime is 57460677606517.

57460677606475 is nontrivially palindromic in base 10.

57460677606475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57460677606475 - 21 = 57460677606473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57460677606473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8036454832 + ... + 8036461981.

It is an arithmetic number, because the mean of its divisors is an integer number (3487822948638).

Almost surely, 257460677606475 is an apocalyptic number.

57460677606475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57460677606475 is a deficient number, since it is larger than the sum of its proper divisors (26247073160837).

57460677606475 is a wasteful number, since it uses less digits than its factorization.

57460677606475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16072916847 (or 16072916842 counting only the distinct ones).

The product of its (nonzero) digits is 1244678400, while the sum is 70.

The spelling of 57460677606475 in words is "fifty-seven trillion, four hundred sixty billion, six hundred seventy-seven million, six hundred six thousand, four hundred seventy-five".

Divisors: 1 5 11 13 25 55 65 143 275 325 715 3575 16072916813 80364584065 176802084943 208947918569 401822920325 884010424715 1044739592845 2298427104259 4420052123575 5223697964225 11492135521295 57460677606475