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10071326736 = 243283632
BaseRepresentation
bin10010110000100110…
…00100000000010000
3221222212222102000100
421120103010000100
5131111224423421
64343211252400
7504401602422
oct113023040020
927885872010
1010071326736
1142a9001929
121b50a4a100
13c46701b43
146b780c812
153de29bc26
hex2584c4010

10071326736 has 45 divisors (see below), whose sum is σ = 28189097599. Its totient is φ = 3356707488.

The previous prime is 10071326731. The next prime is 10071326791. The reversal of 10071326736 is 63762317001.

The square root of 10071326736 is 100356.

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

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10071326736.

It is not an unprimeable number, because it can be changed into a prime (10071326731) 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, 1200091 + ... + 1208453.

Almost surely, 210071326736 is an apocalyptic number.

10071326736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10071326736 is the 100356-th square number.

It is an amenable number.

10071326736 is an abundant number, since it is smaller than the sum of its proper divisors (18117770863).

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

10071326736 is an frugal number, since it uses more digits than its factorization.

10071326736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Multiplying 10071326736 by its sum of digits (36), we get a square (362567762496 = 6021362).

10071326736 divided by its sum of digits (36) gives a square (279759076 = 167262).

It can be divided in two parts, 100713 and 26736, that added together give a square (127449 = 3572).

The spelling of 10071326736 in words is "ten billion, seventy-one million, three hundred twenty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 8363 16726 25089 33452 50178 66904 75267 100356 133808 150534 200712 301068 401424 602136 1204272 69939769 139879538 209819307 279759076 419638614 559518152 629457921 839277228 1119036304 1258915842 1678554456 2517831684 3357108912 5035663368 10071326736