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10245531252 = 22311217340787
BaseRepresentation
bin10011000101010111…
…00110011001110100
3222110000202220200110
421202223212121310
5131440324000002
64412353143020
7511615402335
oct114253463164
928400686613
1010245531252
114388376300
121b9b25aa70
13c73826b38
146d29d828c
153ee70ce6c
hex262ae6674

10245531252 has 72 divisors (see below), whose sum is σ = 26429645088. Its totient is φ = 3086684480.

The previous prime is 10245531211. The next prime is 10245531319. The reversal of 10245531252 is 25213554201.

10245531252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 230803 + ... + 271589.

It is an arithmetic number, because the mean of its divisors is an integer number (367078404).

Almost surely, 210245531252 is an apocalyptic number.

10245531252 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 10245531252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13214822544).

10245531252 is an abundant number, since it is smaller than the sum of its proper divisors (16184113836).

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

10245531252 is a wasteful number, since it uses less digits than its factorization.

10245531252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40989 (or 40976 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 10245531252 in words is "ten billion, two hundred forty-five million, five hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 173 242 346 363 484 519 692 726 1038 1452 1903 2076 3806 5709 7612 11418 20933 22836 40787 41866 62799 81574 83732 122361 125598 163148 244722 251196 448657 489444 897314 1345971 1794628 2691942 4935227 5383884 7056151 9870454 14112302 14805681 19740908 21168453 28224604 29611362 42336906 59222724 77617661 84673812 155235322 232852983 310470644 465705966 853794271 931411932 1707588542 2561382813 3415177084 5122765626 10245531252