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30493122156 = 223271715745337
BaseRepresentation
bin11100011001100010…
…000001111001101100
32220201010012002210200
4130121202001321230
5444422214402111
622001445233500
72126435155530
oct343142017154
986633162720
1030493122156
1111a28633002
125ab0102890
132b4c5ac763
141693b2dbc0
15bd7084256
hex719881e6c

30493122156 has 144 divisors (see below), whose sum is σ = 93869246016. Its totient is φ = 8147423232.

The previous prime is 30493122133. The next prime is 30493122197. The reversal of 30493122156 is 65122139403.

30493122156 is a `hidden beast` number, since 3 + 0 + 493 + 12 + 2 + 156 = 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 30493122156.

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, 649920 + ... + 695256.

It is an arithmetic number, because the mean of its divisors is an integer number (651869764).

Almost surely, 230493122156 is an apocalyptic number.

30493122156 is a gapful number since it is divisible by the number (36) 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 30493122156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46934623008).

30493122156 is an abundant number, since it is smaller than the sum of its proper divisors (63376123860).

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

30493122156 is a wasteful number, since it uses less digits than its factorization.

30493122156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45528 (or 45523 counting only the distinct ones).

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

The spelling of 30493122156 in words is "thirty billion, four hundred ninety-three million, one hundred twenty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 157 204 238 252 306 314 357 471 476 612 628 714 942 1071 1099 1413 1428 1884 2142 2198 2669 2826 3297 4284 4396 5338 5652 6594 8007 9891 10676 13188 16014 18683 19782 24021 32028 37366 39564 45337 48042 56049 74732 90674 96084 112098 136011 168147 181348 224196 272022 317359 336294 408033 544044 634718 672588 770729 816066 952077 1269436 1541458 1632132 1904154 2312187 2856231 3082916 3808308 4624374 5395103 5712462 6936561 7117909 9248748 10790206 11424924 13873122 14235818 16185309 21353727 21580412 27746244 28471636 32370618 42707454 48555927 49825363 64061181 64741236 85414908 97111854 99650726 121004453 128122362 149476089 194223708 199301452 242008906 256244724 298952178 363013359 448428267 484017812 597904356 726026718 847031171 896856534 1089040077 1452053436 1694062342 1793713068 2178080154 2541093513 3388124684 4356160308 5082187026 7623280539 10164374052 15246561078 30493122156