Search a number
-
+
152406116544 = 26311239301933
BaseRepresentation
bin1000110111110000011…
…1001100100011000000
3112120101102222220021010
42031330013030203000
54444111431212134
6154003040000520
714003523421203
oct2157407144300
9476342886233
10152406116544
11596a9309120
1225654600140
13114aabca166
14753b16393a
153e6ee62ce9
hex237c1cc8c0

152406116544 has 112 divisors (see below), whose sum is σ = 441741519360. Its totient is φ = 45990282240.

The previous prime is 152406116537. The next prime is 152406116549. The reversal of 152406116544 is 445611604251.

It is not an unprimeable number, because it can be changed into a prime (152406116549) 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, 353802 + ... + 655734.

Almost surely, 2152406116544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152406116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220870759680).

152406116544 is an abundant number, since it is smaller than the sum of its proper divisors (289335402816).

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

152406116544 is a wasteful number, since it uses less digits than its factorization.

152406116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302198 (or 302188 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 152406116544 in words is "one hundred fifty-two billion, four hundred six million, one hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 239 264 352 478 528 704 717 956 1056 1434 1912 2112 2629 2868 3824 5258 5736 7648 7887 10516 11472 15296 15774 21032 22944 31548 42064 45888 63096 84128 126192 168256 252384 301933 504768 603866 905799 1207732 1811598 2415464 3321263 3623196 4830928 6642526 7246392 9661856 9963789 13285052 14492784 19323712 19927578 26570104 28985568 39855156 53140208 57971136 72161987 79710312 106280416 144323974 159420624 212560832 216485961 288647948 318841248 432971922 577295896 637682496 793781857 865943844 1154591792 1587563714 1731887688 2309183584 2381345571 3175127428 3463775376 4618367168 4762691142 6350254856 6927550752 9525382284 12700509712 13855101504 19050764568 25401019424 38101529136 50802038848 76203058272 152406116544