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6106623156 = 2233437318013
BaseRepresentation
bin1011010111111101…
…11010110010110100
3120202120200121011000
411223332322302310
5100001243420111
62445542043300
7304220304024
oct55376726264
916676617130
106106623156
1126540363a7
121225119530
137641bb0aa
1441d045a84
1525b199c56
hex16bfbacb4

6106623156 has 96 divisors (see below), whose sum is σ = 16423003520. Its totient is φ = 1960858368.

The previous prime is 6106623151. The next prime is 6106623157. The reversal of 6106623156 is 6513266016.

6106623156 is a `hidden beast` number, since 6 + 10 + 6 + 623 + 15 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6106623156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106623151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330006 + ... + 348018.

Almost surely, 26106623156 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 6106623156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8211501760).

6106623156 is an abundant number, since it is smaller than the sum of its proper divisors (10316380364).

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

6106623156 is a wasteful number, since it uses less digits than its factorization.

6106623156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18142 (or 18134 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6106623156 is about 78144.8856675854. The cubic root of 6106623156 is about 1827.8211854674.

The spelling of 6106623156 in words is "six billion, one hundred six million, six hundred twenty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 73 86 108 129 146 172 219 258 292 387 438 516 657 774 876 1161 1314 1548 1971 2322 2628 3139 3942 4644 6278 7884 9417 12556 18013 18834 28251 36026 37668 54039 56502 72052 84753 108078 113004 162117 169506 216156 324234 339012 486351 648468 774559 972702 1314949 1549118 1945404 2323677 2629898 3098236 3944847 4647354 5259796 6971031 7889694 9294708 11834541 13942062 15779388 20913093 23669082 27884124 35503623 41826186 47338164 56542807 71007246 83652372 113085614 142014492 169628421 226171228 339256842 508885263 678513684 1017770526 1526655789 2035541052 3053311578 6106623156