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10436256964 = 227272972
BaseRepresentation
bin10011011100000110…
…01010010011000100
3222221022122210011201
421232003022103010
5132333140210324
64443325112244
7516422502100
oct115603122304
928838583151
1010436256964
114475aa4361
1220330b8684
13ca41b49a3
14710084900
15411334444
hex26e0ca4c4

10436256964 has 27 divisors (see below), whose sum is σ = 21248149293. Its totient is φ = 4472068608.

The previous prime is 10436256953. The next prime is 10436256967. The reversal of 10436256964 is 46965263401.

The square root of 10436256964 is 102158.

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

It can be written as a sum of positive squares in only one way, i.e., 3548584900 + 6887672064 = 59570^2 + 82992^2 .

It is not an unprimeable number, because it can be changed into a prime (10436256967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1426564 + ... + 1433860.

Almost surely, 210436256964 is an apocalyptic number.

10436256964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10436256964 is the 102158-th square number.

It is an amenable number.

10436256964 is an abundant number, since it is smaller than the sum of its proper divisors (10811892329).

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

10436256964 is an frugal number, since it uses more digits than its factorization.

10436256964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14612 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 10436256964 in words is "ten billion, four hundred thirty-six million, two hundred fifty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 7297 14594 29188 51079 102158 204316 357553 715106 1430212 53246209 106492418 212984836 372723463 745446926 1490893852 2609064241 5218128482 10436256964