Search a number
-
+
113426854368 = 25317241288389
BaseRepresentation
bin110100110100011000…
…1000111000111100000
3101211202220122012211020
41221220301013013200
53324244233314433
6124035123045440
711123552232342
oct1515061070740
9354686565736
10113426854368
1144116558563
1219b96510880
13a908465c99
1456c0381292
152e3cda6cb3
hex1a68c471e0

113426854368 has 96 divisors (see below), whose sum is σ = 316569163680. Its totient is φ = 35437117440.

The previous prime is 113426854337. The next prime is 113426854391. The reversal of 113426854368 is 863458624311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 113426854368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249118 + ... + 537506.

It is an arithmetic number, because the mean of its divisors is an integer number (3297595455).

Almost surely, 2113426854368 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 113426854368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158284581840).

113426854368 is an abundant number, since it is smaller than the sum of its proper divisors (203142309312).

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

113426854368 is a wasteful number, since it uses less digits than its factorization.

113426854368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288660 (or 288652 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 113426854368 in words is "one hundred thirteen billion, four hundred twenty-six million, eight hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 241 272 408 482 544 723 816 964 1446 1632 1928 2892 3856 4097 5784 7712 8194 11568 12291 16388 23136 24582 32776 49164 65552 98328 131104 196656 288389 393312 576778 865167 1153556 1730334 2307112 3460668 4614224 4902613 6921336 9228448 9805226 13842672 14707839 19610452 27685344 29415678 39220904 58831356 69501749 78441808 117662712 139003498 156883616 208505247 235325424 278006996 417010494 470650848 556013992 834020988 1112027984 1181529733 1668041976 2224055968 2363059466 3336083952 3544589199 4726118932 6672167904 7089178398 9452237864 14178356796 18904475728 28356713592 37808951456 56713427184 113426854368