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916610930404 = 2213223216012
BaseRepresentation
bin11010101011010100100…
…01001101011011100100
310020121221012011202222221
431111222101031123210
5110004204344233104
61541030225202124
7123136321233031
oct15255221153344
93217835152887
10916610930404
11323806a79754
1212978b190344
1368588c97100
1432515548388
1518c9a99dc54
hexd56a44d6e4

916610930404 has 81 divisors (see below), whose sum is σ = 1816888491579. Its totient is φ = 404404915200.

The previous prime is 916610930359. The next prime is 916610930407. The reversal of 916610930404 is 404039016619.

The square root of 916610930404 is 957398.

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

916610930404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104723432100 + 811887498304 = 323610^2 + 901048^2 .

It is a super-3 number, since 3×9166109304043 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (916610930407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 572523204 + ... + 572524804.

Almost surely, 2916610930404 is an apocalyptic number.

916610930404 is the 957398-th square number.

It is an amenable number.

916610930404 is a deficient number, since it is larger than the sum of its proper divisors (900277561175).

916610930404 is a wasteful number, since it uses less digits than its factorization.

916610930404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 916610930404 in words is "nine hundred sixteen billion, six hundred ten million, nine hundred thirty thousand, four hundred four".

Divisors: 1 2 4 13 23 26 46 52 92 169 299 338 529 598 676 1058 1196 1601 2116 3202 3887 6404 6877 7774 13754 15548 20813 27508 36823 41626 73646 83252 89401 147292 178802 270569 357604 478699 541138 846929 957398 1082276 1693858 1914796 2563201 3387716 5126402 6223087 10252804 11010077 12446174 22020154 24892348 33321613 44040308 58953623 66643226 117907246 133286452 143131001 235814492 286262002 433180969 572524004 766397099 866361938 1355933329 1532794198 1732723876 2711866658 3065588396 5423733316 9963162287 17627133277 19926324574 35254266554 39852649148 70508533108 229152732601 458305465202 916610930404