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10072717236 = 2232279797701
BaseRepresentation
bin10010110000110000…
…10111011110110100
3221222222121001102100
421120120113132310
5131112103422421
64343301142100
7504416453361
oct113030273664
927888531370
1010072717236
1142a98715aa
121b513ba930
13c46a9aa1a
146b7a91468
153de473c26
hex2586177b4

10072717236 has 18 divisors (see below), whose sum is σ = 25461590882. Its totient is φ = 3357572400.

The previous prime is 10072717231. The next prime is 10072717301. The reversal of 10072717236 is 63271727001.

10072717236 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 only one way, i.e., 8071944336 + 2000772900 = 89844^2 + 44730^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×100727172362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 279797701 = 10072717236 / (1 + 0 + 0 + 7 + 2 + 7 + 1 + 7 + 2 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 10072717236.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072717231) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 139898815 + ... + 139898886.

Almost surely, 210072717236 is an apocalyptic number.

It is an amenable number.

10072717236 is an abundant number, since it is smaller than the sum of its proper divisors (15388873646).

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

10072717236 is a wasteful number, since it uses less digits than its factorization.

10072717236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279797711 (or 279797706 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 10072717236 in words is "ten billion, seventy-two million, seven hundred seventeen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 279797701 559595402 839393103 1119190804 1678786206 2518179309 3357572412 5036358618 10072717236