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116426432124 = 2232232915313167
BaseRepresentation
bin110110001101110001…
…1100101111001111100
3102010111221212112221200
41230123203211321330
53401420131311444
6125252514255500
711261104226112
oct1543343457174
9363457775850
10116426432124
114541575a742
121a692b87590
13ac95a30272
1458c68b7ab2
1530663b5969
hex1b1b8e5e7c

116426432124 has 144 divisors (see below), whose sum is σ = 317993195520. Its totient is φ = 35806700160.

The previous prime is 116426432119. The next prime is 116426432137. The reversal of 116426432124 is 421234624611.

116426432124 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 2 + 643 + 2 + 1 + 2 + 4 = 666.

It is a super-2 number, since 2×1164264321242 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36760789 + ... + 36763955.

It is an arithmetic number, because the mean of its divisors is an integer number (2208286080).

Almost surely, 2116426432124 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 116426432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158996597760).

116426432124 is an abundant number, since it is smaller than the sum of its proper divisors (201566763396).

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

116426432124 is a wasteful number, since it uses less digits than its factorization.

116426432124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4755 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 116426432124 in words is "one hundred sixteen billion, four hundred twenty-six million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 1531 2001 2668 3062 3167 4002 4593 6003 6124 6334 8004 9186 9501 12006 12668 13779 18372 19002 24012 27558 28503 35213 38004 44399 55116 57006 70426 72841 88798 91843 105639 114012 133197 140852 145682 177596 183686 211278 218523 266394 275529 291364 316917 367372 399591 422556 437046 532788 551058 633834 655569 799182 826587 874092 1021177 1102116 1267668 1311138 1598364 1653174 2042354 2112389 2622276 3063531 3306348 4084708 4224778 4848677 6127062 6337167 8449556 9190593 9697354 12254124 12674334 14546031 18381186 19011501 19394708 25348668 29092062 36762372 38023002 43638093 58184124 76046004 87276186 111519571 140611633 174552372 223039142 281223266 334558713 421834899 446078284 562446532 669117426 843669798 1003676139 1265504697 1338234852 1687339596 2007352278 2531009394 3234067559 4014704556 5062018788 6468135118 9702202677 12936270236 19404405354 29106608031 38808810708 58213216062 116426432124