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116322662412 = 22351161178351
BaseRepresentation
bin110110001010101011…
…1101111100000001100
3102010020201121111200000
41230111113233200030
53401212100144122
6125234330204300
711255404213365
oct1542527574014
9363221544600
10116322662412
1145372123a50
121a664283690
13ac7a399978
1458b6bc4b6c
15305c2190ac
hex1b155ef80c

116322662412 has 144 divisors (see below), whose sum is σ = 338104026624. Its totient is φ = 34671240000.

The previous prime is 116322662399. The next prime is 116322662413. The reversal of 116322662412 is 214266223611.

116322662412 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 2 + 26 + 624 + 1 + 2 = 666.

It is a super-2 number, since 2×1163226624122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116322662413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563037 + ... + 741387.

Almost surely, 2116322662412 is an apocalyptic number.

116322662412 is a gapful number since it is divisible by the number (12) 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 116322662412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169052013312).

116322662412 is an abundant number, since it is smaller than the sum of its proper divisors (221781364212).

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

116322662412 is a wasteful number, since it uses less digits than its factorization.

116322662412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178442 (or 178428 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 116322662412 in words is "one hundred sixteen billion, three hundred twenty-two million, six hundred sixty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 81 99 108 122 132 162 183 198 243 244 297 324 366 396 486 549 594 671 732 891 972 1098 1188 1342 1647 1782 2013 2196 2673 2684 3294 3564 4026 4941 5346 6039 6588 8052 9882 10692 12078 14823 18117 19764 24156 29646 36234 54351 59292 72468 108702 163053 178351 217404 326106 356702 535053 652212 713404 1070106 1605159 1961861 2140212 3210318 3923722 4815477 5885583 6420636 7847444 9630954 10879411 11771166 14446431 17656749 19261908 21758822 23542332 28892862 32638233 35313498 43339293 43517644 52970247 57785724 65276466 70626996 86678586 97914699 105940494 119673521 130552932 158910741 173357172 195829398 211880988 239347042 293744097 317821482 359020563 391658796 476732223 478694084 587488194 635642964 718041126 881232291 953464446 1077061689 1174976388 1436082252 1762464582 1906928892 2154123378 2643696873 3231185067 3524929164 4308246756 5287393746 6462370134 9693555201 10574787492 12924740268 19387110402 29080665603 38774220804 58161331206 116322662412