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12844772304 = 24371328310391
BaseRepresentation
bin10111111011001101…
…11010101111010000
31020011011201001002120
423331212322233100
5202301230203204
65522324014240
7633206522520
oct137546725720
936134631076
1012844772304
1154a15a2601
1225a5831380
1312991924b0
1489bcbd680
155029dd6d9
hex2fd9babd0

12844772304 has 160 divisors (see below), whose sum is σ = 40988043264. Its totient is φ = 3375336960.

The previous prime is 12844772279. The next prime is 12844772309. The reversal of 12844772304 is 40327744821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844772309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230949 + ... + 1241339.

Almost surely, 212844772304 is an apocalyptic number.

12844772304 is a gapful number since it is divisible by the number (14) 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 12844772304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494021632).

12844772304 is an abundant number, since it is smaller than the sum of its proper divisors (28143270960).

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

12844772304 is a wasteful number, since it uses less digits than its factorization.

12844772304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 12844772304 in words is "twelve billion, eight hundred forty-four million, seven hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 283 312 336 364 546 566 624 728 849 1092 1132 1456 1698 1981 2184 2264 3396 3679 3962 4368 4528 5943 6792 7358 7924 10391 11037 11886 13584 14716 15848 20782 22074 23772 25753 29432 31173 31696 41564 44148 47544 51506 58864 62346 72737 77259 83128 88296 95088 103012 124692 135083 145474 154518 166256 176592 206024 218211 249384 270166 290948 309036 405249 412048 436422 498768 540332 581896 618072 810498 872844 945581 1080664 1163792 1236144 1620996 1745688 1891162 2161328 2836743 2940653 3241992 3491376 3782324 5673486 5881306 6483984 7564648 8821959 11346972 11762612 15129296 17643918 20584571 22693944 23525224 35287836 38228489 41169142 45387888 47050448 61753713 70575672 76456978 82338284 114685467 123507426 141151344 152913956 164676568 229370934 247014852 267599423 305827912 329353136 458741868 494029704 535198846 611655824 802798269 917483736 988059408 1070397692 1605596538 1834967472 2140795384 3211193076 4281590768 6422386152 12844772304