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30784518132 = 223293111325253
BaseRepresentation
bin11100101010111001…
…100111011111110100
32221110102111112221020
4130222321213133310
51001021314040012
622050415021140
72136604041504
oct345271473764
987412445836
1030784518132
1112068070125
125b7180a7b0
132b97a87204
1416c0703a04
15c02943a8c
hex72ae677f4

30784518132 has 96 divisors (see below), whose sum is σ = 77386337280. Its totient is φ = 9502832640.

The previous prime is 30784518077. The next prime is 30784518169. The reversal of 30784518132 is 23181548703.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206418 + ... + 1231670.

It is an arithmetic number, because the mean of its divisors is an integer number (806107680).

Almost surely, 230784518132 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 30784518132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38693168640).

30784518132 is an abundant number, since it is smaller than the sum of its proper divisors (46601819148).

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

30784518132 is a wasteful number, since it uses less digits than its factorization.

30784518132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25433 (or 25431 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 30784518132 in words is "thirty billion, seven hundred eighty-four million, five hundred eighteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 113 116 124 174 186 226 339 348 372 452 678 899 1356 1798 2697 3277 3503 3596 5394 6554 7006 9831 10509 10788 13108 14012 19662 21018 25253 39324 42036 50506 75759 101012 101587 151518 203174 303036 304761 406348 609522 732337 782843 1219044 1464674 1565686 2197011 2348529 2853589 2929348 3131372 4394022 4697058 5707178 8560767 8788044 9394116 11414356 17121534 22702447 34243068 45404894 68107341 82754081 88461259 90809788 136214682 165508162 176922518 248262243 265383777 272429364 331016324 353845036 496524486 530767554 993048972 1061535108 2565376511 5130753022 7696129533 10261506044 15392259066 30784518132