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30904736166 = 2334725092
BaseRepresentation
bin11100110010000100…
…001101100110100110
32221202210201021002000
4130302010031212212
51001243103024131
622110351430130
72142563631423
oct346204154646
987683637060
1030904736166
1112119a10777
125ba5b25346
132bb6959445
1416d2678d4a
15c0d28dce6
hex73210d9a6

30904736166 has 72 divisors (see below), whose sum is σ = 70307626440. Its totient is φ = 10062587952.

The previous prime is 30904736147. The next prime is 30904736171. The reversal of 30904736166 is 66163740903.

30904736166 is a `hidden beast` number, since 30 + 90 + 473 + 6 + 1 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60716320 + ... + 60716828.

Almost surely, 230904736166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30904736166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35153813220).

30904736166 is an abundant number, since it is smaller than the sum of its proper divisors (39402890274).

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

30904736166 is an frugal number, since it uses more digits than its factorization.

30904736166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 30904736166 in words is "thirty billion, nine hundred four million, seven hundred thirty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 509 846 1018 1269 1527 2209 2538 3054 4418 4581 6627 9162 13254 13743 19881 23923 27486 39762 47846 59643 71769 119286 143538 215307 259081 430614 518162 645921 777243 1124381 1291842 1554486 2248762 2331729 3373143 4663458 6746286 6995187 10119429 12176807 13990374 20238858 24353614 30358287 36530421 60716574 73060842 109591263 219182526 328773789 572309929 657547578 1144619858 1716929787 3433859574 5150789361 10301578722 15452368083 30904736166