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13374472968 = 23321722074951
BaseRepresentation
bin11000111010010111…
…00100001100001000
31021112002102121210200
430131023210030020
5204342331113333
610051045212200
7652301100363
oct143513441410
937462377720
1013374472968
1157435a554a
122713101060
131351b4623c
1490c3a70da
15534271c13
hex31d2e4308

13374472968 has 96 divisors (see below), whose sum is σ = 38378396160. Its totient is φ = 4193164800.

The previous prime is 13374472957. The next prime is 13374472981. The reversal of 13374472968 is 86927447331.

13374472968 is a `hidden beast` number, since 13 + 3 + 74 + 472 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2698893 + ... + 2703843.

It is an arithmetic number, because the mean of its divisors is an integer number (399774960).

Almost surely, 213374472968 is an apocalyptic number.

13374472968 is a gapful number since it is divisible by the number (18) 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 13374472968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189198080).

13374472968 is an abundant number, since it is smaller than the sum of its proper divisors (25003923192).

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

13374472968 is a wasteful number, since it uses less digits than its factorization.

13374472968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7180 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 13374472968 in words is "thirteen billion, three hundred seventy-four million, four hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2207 4414 4951 6621 8828 9902 13242 14853 17656 19804 19863 26484 29706 37519 39608 39726 44559 52968 59412 75038 79452 84167 89118 112557 118824 150076 158904 168334 178236 225114 252501 300152 336668 337671 356472 450228 505002 673336 675342 757503 900456 1010004 1350684 1515006 2020008 2701368 3030012 6060024 10926857 21853714 32780571 43707428 65561142 87414856 98341713 131122284 185756569 196683426 262244568 371513138 393366852 557269707 743026276 786733704 1114539414 1486052552 1671809121 2229078828 3343618242 4458157656 6687236484 13374472968