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10397248884 = 22331118148353
BaseRepresentation
bin10011010111011100…
…10110110101110100
3222211121020222011000
421223232112311310
5132243143431014
64435413043300
7515440104651
oct115356266564
928747228130
1010397248884
114455a80a80
122022026530
13c990a7799
14708c0cc28
1540cbcb509
hex26bb96d74

10397248884 has 96 divisors (see below), whose sum is σ = 29569438080. Its totient is φ = 3133209600.

The previous prime is 10397248859. The next prime is 10397248919. The reversal of 10397248884 is 48884279301.

It is a happy number.

10397248884 is a `hidden beast` number, since 1 + 0 + 397 + 248 + 8 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10397248884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190852 + ... + 239204.

It is an arithmetic number, because the mean of its divisors is an integer number (308014980).

Almost surely, 210397248884 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 10397248884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784719040).

10397248884 is an abundant number, since it is smaller than the sum of its proper divisors (19172189196).

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

10397248884 is a wasteful number, since it uses less digits than its factorization.

10397248884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48558 (or 48550 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10397248884 in words is "ten billion, three hundred ninety-seven million, two hundred forty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 181 198 297 362 396 543 594 724 1086 1188 1629 1991 2172 3258 3982 4887 5973 6516 7964 9774 11946 17919 19548 23892 35838 48353 53757 71676 96706 107514 145059 193412 215028 290118 435177 531883 580236 870354 1063766 1305531 1595649 1740708 2127532 2611062 3191298 4786947 5222124 6382596 8751893 9573894 14360841 17503786 19147788 26255679 28721682 35007572 52511358 57443364 78767037 96270823 105022716 157534074 192541646 236301111 288812469 315068148 385083292 472602222 577624938 866437407 945204444 1155249876 1732874814 2599312221 3465749628 5198624442 10397248884