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10244937564 = 22332311093719
BaseRepresentation
bin10011000101010010…
…10101011101011100
3222102222122202022000
421202221111131130
5131440201000224
64412332322300
7511610350431
oct114251253534
928388582260
1010244937564
114388000254
121b9b013390
13c73679844
146d28c1b88
153ee6420c9
hex262a5575c

10244937564 has 96 divisors (see below), whose sum is σ = 27748224000. Its totient is φ = 3262678848.

The previous prime is 10244937533. The next prime is 10244937581. The reversal of 10244937564 is 46573944201.

10244937564 is a `hidden beast` number, since 10 + 2 + 4 + 49 + 37 + 564 = 666.

10244937564 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 31 ways as a sum of consecutive naturals, for example, 2752897 + ... + 2756615.

It is an arithmetic number, because the mean of its divisors is an integer number (289044000).

Almost surely, 210244937564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244937564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874112000).

10244937564 is an abundant number, since it is smaller than the sum of its proper divisors (17503286436).

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

10244937564 is a wasteful number, since it uses less digits than its factorization.

10244937564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10244937564 in words is "ten billion, two hundred forty-four million, nine hundred thirty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1109 1242 2218 2484 3327 3719 4436 6654 7438 9981 11157 13308 14876 19962 22314 25507 29943 33471 39924 44628 51014 59886 66942 76521 85537 100413 102028 119772 133884 153042 171074 200826 229563 256611 306084 342148 401652 459126 513222 688689 769833 918252 1026444 1377378 1539666 2309499 2754756 3079332 4124371 4618998 8248742 9237996 12373113 16497484 24746226 37119339 49492452 74238678 94860533 111358017 148477356 189721066 222716034 284581599 379442132 445432068 569163198 853744797 1138326396 1707489594 2561234391 3414979188 5122468782 10244937564