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12717816320 = 29511241057
BaseRepresentation
bin10111101100000101…
…00111101000000000
31012211022211000020002
423312002213220000
5202021230110240
65501550535132
7630105440456
oct136602475000
935738730202
1012717816320
11543696a700
12256b2074a8
131278aa1401
148890b29d6
154e67b1d15
hex2f60a7a00

12717816320 has 120 divisors (see below), whose sum is σ = 33517862532. Its totient is φ = 4624547840.

The previous prime is 12717816317. The next prime is 12717816359. The reversal of 12717816320 is 2361871721.

It can be written as a sum of positive squares in 2 ways, for example, as 11563991296 + 1153825024 = 107536^2 + 33968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289232 + ... + 330288.

Almost surely, 212717816320 is an apocalyptic number.

12717816320 is a gapful number since it is divisible by the number (10) 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 12717816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16758931266).

12717816320 is an abundant number, since it is smaller than the sum of its proper divisors (20800046212).

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

12717816320 is an equidigital number, since it uses as much as digits as its factorization.

12717816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41102 (or 41075 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 12717816320 in words is "twelve billion, seven hundred seventeen million, eight hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 704 880 968 1210 1280 1408 1760 1936 2420 2560 2816 3520 3872 4840 5632 7040 7744 9680 14080 15488 19360 28160 30976 38720 41057 61952 77440 82114 154880 164228 205285 309760 328456 410570 451627 656912 821140 903254 1313824 1642280 1806508 2258135 2627648 3284560 3613016 4516270 4967897 5255296 6569120 7226032 9032540 9935794 10510592 13138240 14452064 18065080 19871588 21021184 24839485 26276480 28904128 36130160 39743176 49678970 52552960 57808256 72260320 79486352 99357940 105105920 115616512 144520640 158972704 198715880 231233024 289041280 317945408 397431760 578082560 635890816 794863520 1156165120 1271781632 1589727040 2543563264 3179454080 6358908160 12717816320