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30964404204 = 223229148919919
BaseRepresentation
bin11100110101100111…
…110100111111101100
32221220221222201020100
4130311213310333230
51001403341413304
622120322351100
72144220043626
oct346547647754
987827881210
1030964404204
111214a6651a8
126001abb490
132bc611b286
1416da56bc16
15c13628439
hex7359f4fec

30964404204 has 72 divisors (see below), whose sum is σ = 81028584000. Its totient is φ = 9958362624.

The previous prime is 30964404167. The next prime is 30964404223. The reversal of 30964404204 is 40240446903.

30964404204 is a `hidden beast` number, since 3 + 0 + 9 + 6 + 440 + 4 + 204 = 666.

It is a super-3 number, since 3×309644042043 (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1544557 + ... + 1564475.

It is an arithmetic number, because the mean of its divisors is an integer number (1125397000).

Almost surely, 230964404204 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 30964404204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40514292000).

30964404204 is an abundant number, since it is smaller than the sum of its proper divisors (50064179796).

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

30964404204 is a wasteful number, since it uses less digits than its factorization.

30964404204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21447 (or 21442 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 30964404204 in words is "thirty billion, nine hundred sixty-four million, four hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1489 2978 4467 5956 8934 13401 17868 19919 26802 39838 43181 53604 59757 79676 86362 119514 129543 172724 179271 239028 259086 358542 388629 518172 577651 717084 777258 1155302 1554516 1732953 2310604 3465906 5198859 6931812 10397718 20795436 29659391 59318782 88978173 118637564 177956346 266934519 355912692 533869038 860122339 1067738076 1720244678 2580367017 3440489356 5160734034 7741101051 10321468068 15482202102 30964404204