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13274464104 = 23321155730091
BaseRepresentation
bin11000101110011100…
…00011111101101000
31021021010020122102200
430113032003331220
5204141230322404
610033113500200
7646645040346
oct142716037550
937233218380
1013274464104
1156a20a83a0
1226a5711660
1313371cb6b5
148dcdb2996
1552a5b9839
hex317383f68

13274464104 has 96 divisors (see below), whose sum is σ = 39291726240. Its totient is φ = 4015209600.

The previous prime is 13274464079. The next prime is 13274464109. The reversal of 13274464104 is 40146447231.

13274464104 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 4 + 641 + 0 + 4 = 666.

It is a super-2 number, since 2×132744641042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13274464109) 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, 426099 + ... + 456189.

It is an arithmetic number, because the mean of its divisors is an integer number (409288815).

Almost surely, 213274464104 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 13274464104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645863120).

13274464104 is an abundant number, since it is smaller than the sum of its proper divisors (26017262136).

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

13274464104 is a wasteful number, since it uses less digits than its factorization.

13274464104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30671 (or 30664 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13274464104 in words is "thirteen billion, two hundred seventy-four million, four hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 557 792 1114 1671 2228 3342 4456 5013 6127 6684 10026 12254 13368 18381 20052 24508 30091 36762 40104 49016 55143 60182 73524 90273 110286 120364 147048 180546 220572 240728 270819 331001 361092 441144 541638 662002 722184 993003 1083276 1324004 1986006 2166552 2648008 2979009 3972012 5958018 7944024 11916036 16760687 23832072 33521374 50282061 67042748 100564122 134085496 150846183 184367557 201128244 301692366 368735114 402256488 553102671 603384732 737470228 1106205342 1206769464 1474940456 1659308013 2212410684 3318616026 4424821368 6637232052 13274464104