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13049632404 = 22323154721377
BaseRepresentation
bin11000010011101000…
…11001011010010100
31020200110012000022200
430021310121122110
5203211201214104
65554522524500
7641245021344
oct141164313224
936613160280
1013049632404
1155971a4a76
122642366730
1312cc75b9a3
148bb1a8d24
155159a7b39
hex309d19694

13049632404 has 72 divisors (see below), whose sum is σ = 34114499328. Its totient is φ = 4201666560.

The previous prime is 13049632399. The next prime is 13049632417. The reversal of 13049632404 is 40423694031.

It is a happy number.

13049632404 is a `hidden beast` number, since 13 + 0 + 4 + 9 + 632 + 4 + 0 + 4 = 666.

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

It is a congruent number.

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, 599764 + ... + 621140.

Almost surely, 213049632404 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 13049632404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17057249664).

13049632404 is an abundant number, since it is smaller than the sum of its proper divisors (21064866924).

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

13049632404 is a wasteful number, since it uses less digits than its factorization.

13049632404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21965 (or 21960 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13049632404 in words is "thirteen billion, forty-nine million, six hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 547 558 1094 1116 1641 2188 3282 4923 6564 9846 16957 19692 21377 33914 42754 50871 64131 67828 85508 101742 128262 152613 192393 203484 256524 305226 384786 610452 662687 769572 1325374 1988061 2650748 3976122 5964183 7952244 11693219 11928366 23386438 23856732 35079657 46772876 70159314 105238971 140318628 210477942 362489789 420955884 724979578 1087469367 1449959156 2174938734 3262408101 4349877468 6524816202 13049632404