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30416057604 = 223496892
BaseRepresentation
bin11100010100111100…
…000011010100000100
32220111202011211010000
4130110330003110010
5444243002320404
621550053401300
72124511136532
oct342474032404
986452154100
1030416057604
1111999087299
125a8a339230
132b3963952a
1416877cd152
15bd0410339
hex714f03504

30416057604 has 45 divisors (see below), whose sum is σ = 79521790117. Its totient is φ = 10137639456.

The previous prime is 30416057599. The next prime is 30416057621. The reversal of 30416057604 is 40675061403.

It is a happy number.

The square root of 30416057604 is 174402.

It is a perfect power (a square), and thus also a powerful number.

30416057604 is a `hidden beast` number, since 3 + 0 + 41 + 6 + 0 + 5 + 7 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16978611204 + 13437446400 = 130302^2 + 115920^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3134392 + ... + 3144080.

Almost surely, 230416057604 is an apocalyptic number.

30416057604 is the 174402-nd square number.

It is an amenable number.

30416057604 is an abundant number, since it is smaller than the sum of its proper divisors (49105732513).

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

30416057604 is an frugal number, since it uses more digits than its factorization.

30416057604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19394 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Multiplying 30416057604 by its sum of digits (36), we get a square (1094978073744 = 10464122).

30416057604 divided by its sum of digits (36) gives a square (844890489 = 290672).

The spelling of 30416057604 in words is "thirty billion, four hundred sixteen million, fifty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 9689 19378 29067 38756 58134 87201 116268 174402 261603 348804 523206 784809 1046412 1569618 3139236 93876721 187753442 281630163 375506884 563260326 844890489 1126520652 1689780978 2534671467 3379561956 5069342934 7604014401 10138685868 15208028802 30416057604