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116263745416 = 237131718715021
BaseRepresentation
bin110110001000111011…
…0111111011110001000
3102010002121202012202001
41230101312333132020
53401102004323131
6125224423320344
711254060346620
oct1542166773610
9363077665661
10116263745416
1145341942815
121a6485b00b4
13ac6b10b940
1458ad049880
153056e7c261
hex1b11dbf788

116263745416 has 128 divisors (see below), whose sum is σ = 284291804160. Its totient is φ = 43257139200.

The previous prime is 116263745371. The next prime is 116263745453. The reversal of 116263745416 is 614547362611.

It is a happy number.

It is a super-2 number, since 2×1162637454162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23152986 + ... + 23158006.

It is an arithmetic number, because the mean of its divisors is an integer number (2221029720).

Almost surely, 2116263745416 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 116263745416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142145902080).

116263745416 is an abundant number, since it is smaller than the sum of its proper divisors (168028058744).

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

116263745416 is a wasteful number, since it uses less digits than its factorization.

116263745416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6931 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 116263745416 in words is "one hundred sixteen billion, two hundred sixty-three million, seven hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 1871 3094 3742 5021 6188 7484 10042 12376 13097 14968 20084 24323 26194 31807 35147 40168 48646 52388 63614 65273 70294 85357 97292 104776 127228 130546 140588 170261 170714 194584 222649 254456 261092 281176 340522 341428 413491 445298 456911 522184 597499 681044 682856 826982 890596 913822 1109641 1194998 1362088 1653964 1781192 1827644 2219282 2389996 2894437 3307928 3655288 4438564 4779992 5788874 7767487 8877128 9394291 11577748 15534974 18788582 23155496 31069948 37577164 62139896 65760037 75154328 122125783 131520074 159702947 244251566 263040148 319405894 488503132 526080296 638811788 854880481 977006264 1117920629 1277623576 1709760962 2076138311 2235841258 3419521924 4152276622 4471682516 6839043848 8304553244 8943365032 14532968177 16609106488 29065936354 58131872708 116263745416