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10531816992 = 253431131071
BaseRepresentation
bin10011100111011111…
…01100011000100000
31000011222110201220000
421303233230120200
5133032121120432
64501021220000
7521662652544
oct116357543040
930158421800
1010531816992
114514a32a94
12205b101600
13cbac32598
1471ca3ba24
1541990d57c
hex273bec620

10531816992 has 120 divisors (see below), whose sum is σ = 31973179392. Its totient is φ = 3397334400.

The previous prime is 10531816991. The next prime is 10531816993. The reversal of 10531816992 is 29961813501.

10531816992 is a `hidden beast` number, since 10 + 531 + 8 + 16 + 9 + 92 = 666.

10531816992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10531816991) and next prime (10531816993).

It is a super-2 number, since 2×105318169922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10531816991) 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 19 ways as a sum of consecutive naturals, for example, 14817 + ... + 145887.

Almost surely, 210531816992 is an apocalyptic number.

10531816992 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 10531816992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986589696).

10531816992 is an abundant number, since it is smaller than the sum of its proper divisors (21441362400).

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

10531816992 is a wasteful number, since it uses less digits than its factorization.

10531816992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131124 (or 131107 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 10531816992 in words is "ten billion, five hundred thirty-one million, eight hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 40176 80352 131071 262142 393213 524284 786426 1048568 1179639 1572852 2097136 2359278 3145704 3538917 4063201 4194272 4718556 6291408 7077834 8126402 9437112 10616751 12189603 12582816 14155668 16252804 18874224 21233502 24379206 28311336 32505608 36568809 37748448 42467004 48758412 56622672 65011216 73137618 84934008 97516824 109706427 113245344 130022432 146275236 169868016 195033648 219412854 292550472 329119281 339736032 390067296 438825708 585100944 658238562 877651416 1170201888 1316477124 1755302832 2632954248 3510605664 5265908496 10531816992