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116241652656 = 24323734576311
BaseRepresentation
bin110110001000010001…
…0101101101110110000
3102010001002011210011200
41230100202231232300
53401030330341111
6125222314011200
711253401513343
oct1542042555660
9363032153150
10116241652656
1145330423138
121a641116b00
13ac66674abc
1458aa13845a
153055066256
hex1b108adbb0

116241652656 has 120 divisors (see below), whose sum is σ = 334257085344. Its totient is φ = 37683118080.

The previous prime is 116241652627. The next prime is 116241652663. The reversal of 116241652656 is 656256142611.

116241652656 is a `hidden beast` number, since 1 + 1 + 62 + 4 + 16 + 526 + 56 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18415741 + ... + 18422051.

Almost surely, 2116241652656 is an apocalyptic number.

116241652656 is a gapful number since it is divisible by the number (16) 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 116241652656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167128542672).

116241652656 is an abundant number, since it is smaller than the sum of its proper divisors (218015432688).

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

116241652656 is a wasteful number, since it uses less digits than its factorization.

116241652656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819 (or 9810 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 116241652656 in words is "one hundred sixteen billion, two hundred forty-one million, six hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 3457 5328 6311 6914 10371 12622 13828 18933 20742 25244 27656 31113 37866 41484 50488 55312 56799 62226 75732 82968 100976 113598 124452 127909 151464 165936 227196 233507 248904 255818 302928 383727 454392 467014 497808 511636 700521 767454 908784 934028 1023272 1151181 1401042 1534908 1868056 2046544 2101563 2302362 2802084 3069816 3736112 4203126 4604724 5604168 6139632 8406252 9209448 11208336 16812504 18418896 21817127 33625008 43634254 65451381 87268508 130902762 174537016 196354143 261805524 349074032 392708286 523611048 785416572 807233699 1047222096 1570833144 1614467398 2421701097 3141666288 3228934796 4843402194 6457869592 7265103291 9686804388 12915739184 14530206582 19373608776 29060413164 38747217552 58120826328 116241652656