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116220111456 = 25326915832843
BaseRepresentation
bin110110000111101000…
…0100010101001100000
3102002222120122101012110
41230033100202221200
53401004322031311
6125220224155320
711253020435121
oct1541720425140
9362876571173
10116220111456
114531a24a999
121a635a68b40
13ac62072027
1458a732c048
15305320d8a6
hex1b0f422a60

116220111456 has 96 divisors (see below), whose sum is σ = 306513123840. Its totient is φ = 38558073344.

The previous prime is 116220111407. The next prime is 116220111467. The reversal of 116220111456 is 654111022611.

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

It is a super-2 number, since 2×1162201114562 (a number of 23 digits) contains 22 as substring.

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, 40877971 + ... + 40880813.

It is an arithmetic number, because the mean of its divisors is an integer number (3192845040).

Almost surely, 2116220111456 is an apocalyptic number.

116220111456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116220111456 is an abundant number, since it is smaller than the sum of its proper divisors (190293012384).

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

116220111456 is a wasteful number, since it uses less digits than its factorization.

116220111456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 116220111456 in words is "one hundred sixteen billion, two hundred twenty million, one hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1583 1614 2152 2843 3166 3228 4304 4749 5686 6332 6456 8529 8608 9498 11372 12664 12912 17058 18996 22744 25328 25824 34116 37992 45488 50656 68232 75984 90976 136464 151968 272928 425827 764767 851654 1277481 1529534 1703308 2294301 2554962 3059068 3406616 4500469 4588602 5109924 6118136 6813232 9000938 9177204 10219848 12236272 13501407 13626464 18001876 18354408 20439696 24472544 27002814 36003752 36708816 40879392 54005628 72007504 73417632 108011256 144015008 216022512 432045024 1210626161 2421252322 3631878483 4842504644 7263756966 9685009288 14527513932 19370018576 29055027864 38740037152 58110055728 116220111456