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113460447464 = 23721326778317
BaseRepresentation
bin110100110101011000…
…1010000100011101000
3101211212020211220212222
41221222301100203220
53324331333304324
6124042323053212
711124440614400
oct1515261204350
9354766756788
10113460447464
1144133512551
1219ba5811208
13a9123c8560
1456c4a07800
152e40ce055e
hex1a6ac508e8

113460447464 has 96 divisors (see below), whose sum is σ = 266638979880. Its totient is φ = 44863289856.

The previous prime is 113460447461. The next prime is 113460447509. The reversal of 113460447464 is 464744064311.

It can be written as a sum of positive squares in 4 ways, for example, as 78816070564 + 34644376900 = 280742^2 + 186130^2 .

It is a super-2 number, since 2×1134604474642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113460447461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13637834 + ... + 13646150.

Almost surely, 2113460447464 is an apocalyptic number.

113460447464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113460447464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133319489940).

113460447464 is an abundant number, since it is smaller than the sum of its proper divisors (153178532416).

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

113460447464 is a wasteful number, since it uses less digits than its factorization.

113460447464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11027 (or 11016 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 113460447464 in words is "one hundred thirteen billion, four hundred sixty million, four hundred forty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 2677 5096 5354 8317 10708 16634 18739 21416 33268 34801 37478 58219 66536 69602 74956 108121 116438 131173 139204 149912 216242 232876 243607 262346 278408 407533 432484 465752 487214 524692 756847 815066 864968 974428 1049384 1513694 1630132 1705249 1948856 3027388 3260264 3410498 5297929 6054776 6820996 10595858 13641992 21191716 22264609 42383432 44529218 89058436 155852263 178116872 289439917 311704526 578879834 623409052 1090965841 1157759668 1246818104 2026079419 2181931682 2315519336 4052158838 4363863364 8104317676 8727726728 14182555933 16208635352 28365111866 56730223732 113460447464