Search a number
-
+
57376422467375 = 5311118135333029
BaseRepresentation
bin11010000101110111111010…
…10001111001011100101111
321112011010120112101212002212
431002323331101321130233
530010023403122424000
6322010210430441035
715041211144030224
oct1502737521713457
9245133515355085
1057376422467375
1117311227756580
126527b2796317b
13260275ba6a3ab
14102506853994b
1569775bdb6c35
hex342efd47972f

57376422467375 has 32 divisors (see below), whose sum is σ = 78181536813120. Its totient is φ = 41692973040000.

The previous prime is 57376422467359. The next prime is 57376422467387.

It is a happy number.

57376422467375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57376422467375 - 24 = 57376422467359 is a prime.

It is a congruent number.

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, 16042640 + ... + 19290389.

It is an arithmetic number, because the mean of its divisors is an integer number (2443173025410).

Almost surely, 257376422467375 is an apocalyptic number.

57376422467375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57376422467375 is a deficient number, since it is larger than the sum of its proper divisors (20805114345745).

57376422467375 is a wasteful number, since it uses less digits than its factorization.

57376422467375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35334236 (or 35334226 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 68.

The spelling of 57376422467375 in words is "fifty-seven trillion, three hundred seventy-six billion, four hundred twenty-two million, four hundred sixty-seven thousand, three hundred seventy-five".

Divisors: 1 5 11 25 55 125 275 1181 1375 5905 12991 29525 64955 147625 324775 1623875 35333029 176665145 388663319 883325725 1943316595 4416628625 9716582975 41728307249 48582914875 208641536245 459011379739 1043207681225 2295056898695 5216038406125 11475284493475 57376422467375