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816416375560 = 235171200612317
BaseRepresentation
bin10111110000101100011…
…01010100001100001000
32220001022110110000200021
423320112031110030020
5101334010043004220
61423020112150224
7112661362456162
oct13702615241410
92801273400607
10816416375560
1129527083a725
12112288238374
135bcac088976
142b72c721932
15163846334aa
hexbe16354308

816416375560 has 32 divisors (see below), whose sum is σ = 1944991955160. Its totient is φ = 307356752896.

The previous prime is 816416375531. The next prime is 816416375603. The reversal of 816416375560 is 65573614618.

It can be written as a sum of positive squares in 4 ways, for example, as 647056142404 + 169360233156 = 804398^2 + 411534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 816416375498 and 816416375507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 600305479 + ... + 600306838.

Almost surely, 2816416375560 is an apocalyptic number.

It is an amenable number.

816416375560 is an abundant number, since it is smaller than the sum of its proper divisors (1128575579600).

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

816416375560 is a wasteful number, since it uses less digits than its factorization.

816416375560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200612345 (or 1200612341 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 816416375560 in words is "eight hundred sixteen billion, four hundred sixteen million, three hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1200612317 2401224634 4802449268 6003061585 9604898536 12006123170 20410409389 24012246340 40820818778 48024492680 81641637556 102052046945 163283275112 204104093890 408208187780 816416375560