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12677694720 = 28357734271
BaseRepresentation
bin10111100111010011…
…00100010100000000
31012201112022121201220
423303221210110000
5201430442212340
65453554555040
7626110425045
oct136351442400
935645277656
1012677694720
115416256759
122559898a80
131270694412
14883a2b1cc
154e2ed8ed0
hex2f3a64500

12677694720 has 144 divisors (see below), whose sum is σ = 40551259392. Its totient is φ = 3375554560.

The previous prime is 12677694713. The next prime is 12677694761. The reversal of 12677694720 is 2749677621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966185 + ... + 2970455.

It is an arithmetic number, because the mean of its divisors is an integer number (281605968).

Almost surely, 212677694720 is an apocalyptic number.

12677694720 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 12677694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275629696).

12677694720 is an abundant number, since it is smaller than the sum of its proper divisors (27873564672).

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

12677694720 is an equidigital number, since it uses as much as digits as its factorization.

12677694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 12677694720 in words is "twelve billion, six hundred seventy-seven million, six hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 773 960 1280 1546 1920 2319 3092 3840 3865 4271 4638 6184 7730 8542 9276 11595 12368 12813 15460 17084 18552 21355 23190 24736 25626 30920 34168 37104 42710 46380 49472 51252 61840 64065 68336 74208 85420 92760 98944 102504 123680 128130 136672 148416 170840 185520 197888 205008 247360 256260 273344 296832 341680 371040 410016 494720 512520 546688 593664 683360 742080 820032 989440 1025040 1093376 1366720 1484160 1640064 2050080 2733440 2968320 3280128 3301483 4100160 5466880 6602966 8200320 9904449 13205932 16400640 16507415 19808898 26411864 33014830 39617796 49522245 52823728 66029660 79235592 99044490 105647456 132059320 158471184 198088980 211294912 264118640 316942368 396177960 422589824 528237280 633884736 792355920 845179648 1056474560 1267769472 1584711840 2112949120 2535538944 3169423680 4225898240 6338847360 12677694720