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11317702864 = 24132291011429
BaseRepresentation
bin10101000101001011…
…00111000011010000
31002012202020212122011
422202211213003100
5141134312442424
65111013352304
7550314613156
oct124245470320
932182225564
1011317702864
114888603746
12223a338694
1310b49b3100
147951713d6
154638e8694
hex2a29670d0

11317702864 has 120 divisors (see below), whose sum is σ = 24823913400. Its totient is φ = 4990003200.

The previous prime is 11317702861. The next prime is 11317702871. The reversal of 11317702864 is 46820771311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5139742864 + 6177960000 = 71692^2 + 78600^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11317702861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7919302 + ... + 7920730.

It is an arithmetic number, because the mean of its divisors is an integer number (206865945).

Almost surely, 211317702864 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 11317702864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411956700).

11317702864 is an abundant number, since it is smaller than the sum of its proper divisors (13506210536).

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

11317702864 is a wasteful number, since it uses less digits than its factorization.

11317702864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 11317702864 in words is "eleven billion, three hundred seventeen million, seven hundred two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 101 104 116 169 202 208 232 338 377 404 464 676 754 808 1313 1352 1429 1508 1616 2626 2704 2858 2929 3016 4901 5252 5716 5858 6032 9802 10504 11432 11716 17069 18577 19604 21008 22864 23432 34138 37154 38077 39208 41441 46864 68276 74308 76154 78416 82882 136552 144329 148616 152308 165764 241501 273104 288658 297232 304616 331528 483002 495001 538733 577316 609232 663056 966004 990002 1077466 1154632 1876277 1932008 1980004 2154932 2309264 3752554 3864016 3960008 4185541 4309864 7003529 7505108 7920016 8371082 8619728 14007058 15010216 16742164 24391601 28014116 30020432 33484328 48783202 54412033 56028232 66968656 97566404 108824066 112056464 195132808 217648132 390265616 435296264 707356429 870592528 1414712858 2829425716 5658851432 11317702864