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10076339456 = 2839360701
BaseRepresentation
bin10010110001001100…
…01011110100000000
3222000020102002011122
421120212023310000
5131114020330311
64343510531412
7504462320651
oct113046136400
928006362148
1010076339456
114300915a77
121b52666b68
13c47768651
146b8355528
153de93c0db
hex25898bd00

10076339456 has 18 divisors (see below), whose sum is σ = 20113318722. Its totient is φ = 5038169600.

The previous prime is 10076339453. The next prime is 10076339477. The reversal of 10076339456 is 65493367001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6466733056 + 3609606400 = 80416^2 + 60080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10076339453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19680095 + ... + 19680606.

Almost surely, 210076339456 is an apocalyptic number.

10076339456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10076339456 is a deficient number, since it is larger than the sum of its proper divisors (10036979266).

10076339456 is an frugal number, since it uses more digits than its factorization.

10076339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39360717 (or 39360703 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 10076339456 in words is "ten billion, seventy-six million, three hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 39360701 78721402 157442804 314885608 629771216 1259542432 2519084864 5038169728 10076339456