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116895268480 = 275503363119
BaseRepresentation
bin110110011011110000…
…0000011111010000000
3102011201122001220112011
41230313200003322000
53403400142042410
6125411223142304
711305526250004
oct1546740037200
9364648056464
10116895268480
1145636371401
121a7a3ba4994
13b03bbc3823
14592cc7a704
15309262518a
hex1b37803e80

116895268480 has 64 divisors (see below), whose sum is σ = 280009094400. Its totient is φ = 46665020416.

The previous prime is 116895268463. The next prime is 116895268493. The reversal of 116895268480 is 84862598611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1168952684802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140361 + ... + 503479.

It is an arithmetic number, because the mean of its divisors is an integer number (4375142100).

Almost surely, 2116895268480 is an apocalyptic number.

116895268480 is a gapful number since it is divisible by the number (10) 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 116895268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140004547200).

116895268480 is an abundant number, since it is smaller than the sum of its proper divisors (163113825920).

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

116895268480 is an equidigital number, since it uses as much as digits as its factorization.

116895268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363641 (or 363629 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 58.

The spelling of 116895268480 in words is "one hundred sixteen billion, eight hundred ninety-five million, two hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 503 640 1006 2012 2515 4024 5030 8048 10060 16096 20120 32192 40240 64384 80480 160960 321920 363119 726238 1452476 1815595 2904952 3631190 5809904 7262380 11619808 14524760 23239616 29049520 46479232 58099040 116198080 182648857 232396160 365297714 730595428 913244285 1461190856 1826488570 2922381712 3652977140 5844763424 7305954280 11689526848 14611908560 23379053696 29223817120 58447634240 116895268480