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10613380864 = 28157347761
BaseRepresentation
bin10011110001001101…
…10101011100000000
31000101122221121111011
421320212311130000
5133214011141424
64513053330304
7524003151232
oct117046653400
930348847434
1010613380864
114556a82149
122082496994
131001abc728
147297d0252
15421b70694
hex2789b5700

10613380864 has 72 divisors (see below), whose sum is σ = 21409779888. Its totient is φ = 5250785280.

The previous prime is 10613380837. The next prime is 10613380871. The reversal of 10613380864 is 46808331601.

It is a happy number.

It is a super-2 number, since 2×106133808642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13946244 + ... + 13947004.

It is an arithmetic number, because the mean of its divisors is an integer number (297358054).

Almost surely, 210613380864 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 10613380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704889944).

10613380864 is an abundant number, since it is smaller than the sum of its proper divisors (10796399024).

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

10613380864 is an equidigital number, since it uses as much as digits as its factorization.

10613380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 10613380864 in words is "ten billion, six hundred thirteen million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 347 628 694 761 1256 1388 1522 2512 2776 3044 5024 5552 6088 10048 11104 12176 20096 22208 24352 40192 44416 48704 54479 88832 97408 108958 119477 194816 217916 238954 264067 435832 477908 528134 871664 955816 1056268 1743328 1911632 2112536 3486656 3823264 4225072 6973312 7646528 8450144 13946624 15293056 16900288 30586112 33800576 41458519 67601152 82917038 165834076 331668152 663336304 1326672608 2653345216 5306690432 10613380864