Search a number
-
+
61129628336 = 2472517093067
BaseRepresentation
bin111000111011100111…
…000001101010110000
312211210020011212111202
4320323213001222300
52000143141101321
644025500030332
74262564160530
oct707347015260
9184706155452
1061129628336
1123a1a0995a7
12ba202323a8
1359c27b291a
142d5c9054c0
1518cb9dc70b
hexe3b9c1ab0

61129628336 has 80 divisors (see below), whose sum is σ = 136133786880. Its totient is φ = 26048736000.

The previous prime is 61129628333. The next prime is 61129628353. The reversal of 61129628336 is 63382692116.

61129628336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61129628333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19929875 + ... + 19932941.

It is an arithmetic number, because the mean of its divisors is an integer number (1701672336).

Almost surely, 261129628336 is an apocalyptic number.

It is an amenable number.

61129628336 is an abundant number, since it is smaller than the sum of its proper divisors (75004158544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61129628336 is a wasteful number, since it uses less digits than its factorization.

61129628336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4036 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The spelling of 61129628336 in words is "sixty-one billion, one hundred twenty-nine million, six hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 251 502 709 1004 1418 1757 2008 2836 3067 3514 4016 4963 5672 6134 7028 9926 11344 12268 14056 19852 21469 24536 28112 39704 42938 49072 79408 85876 171752 177959 343504 355918 711836 769817 1245713 1423672 1539634 2174503 2491426 2847344 3079268 4349006 4982852 5388719 6158536 8698012 9965704 10777438 12317072 15221521 17396024 19931408 21554876 30443042 34792048 43109752 60886084 86219504 121772168 243544336 545800253 1091600506 2183201012 3820601771 4366402024 7641203542 8732804048 15282407084 30564814168 61129628336