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10326319272 = 23321926932803
BaseRepresentation
bin10011001110111111…
…10010000010101000
3222122122210101000100
421213133302002220
5132122014204042
64424400505400
7513616160043
oct114737620250
928578711010
1010326319272
114419a35565
12200231b260
13c874a1ab9
146dd627c5a
1540686a24c
hex2677f20a8

10326319272 has 96 divisors (see below), whose sum is σ = 29460506400. Its totient is φ = 3258569088.

The previous prime is 10326319271. The next prime is 10326319277. The reversal of 10326319272 is 27291362301.

10326319272 is a `hidden beast` number, since 10 + 3 + 2 + 631 + 9 + 2 + 7 + 2 = 666.

10326319272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10326319271) 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 23 ways as a sum of consecutive naturals, for example, 3682623 + ... + 3685425.

It is an arithmetic number, because the mean of its divisors is an integer number (306880275).

Almost surely, 210326319272 is an apocalyptic number.

10326319272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10326319272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730253200).

10326319272 is an abundant number, since it is smaller than the sum of its proper divisors (19134187128).

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

10326319272 is a wasteful number, since it uses less digits than its factorization.

10326319272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10326319272 in words is "ten billion, three hundred twenty-six million, three hundred nineteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2693 2803 5386 5606 8079 8409 10772 11212 16158 16818 21544 22424 24237 25227 32316 33636 48474 50454 51167 53257 64632 67272 96948 100908 102334 106514 153501 159771 193896 201816 204668 213028 307002 319542 409336 426056 460503 479313 614004 639084 921006 958626 1228008 1278168 1842012 1917252 3684024 3834504 7548479 15096958 22645437 30193916 45290874 60387832 67936311 90581748 135872622 143421101 181163496 271745244 286842202 430263303 543490488 573684404 860526606 1147368808 1290789909 1721053212 2581579818 3442106424 5163159636 10326319272