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13005631604 = 2271037276203
BaseRepresentation
bin11000001110011001…
…00011000001110100
31020120101101112120102
430013030203001310
5203113420202404
65550311453232
7640202021210
oct140714430164
936511345512
1013005631604
115574381579
12262b687218
1312c35c4104
148b53d3940
15511bb571e
hex307323074

13005631604 has 48 divisors (see below), whose sum is σ = 26304165888. Its totient is φ = 5511246048.

The previous prime is 13005631603. The next prime is 13005631619. The reversal of 13005631604 is 40613650031.

It is a happy number.

It is a super-2 number, since 2×130056316042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005631603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2093567 + ... + 2099769.

It is an arithmetic number, because the mean of its divisors is an integer number (548003456).

Almost surely, 213005631604 is an apocalyptic number.

13005631604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13005631604 is an abundant number, since it is smaller than the sum of its proper divisors (13298534284).

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

13005631604 is a wasteful number, since it uses less digits than its factorization.

13005631604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 13005631604 in words is "thirteen billion, five million, six hundred thirty-one thousand, six hundred four".

Divisors: 1 2 4 7 14 28 103 206 412 721 727 1442 1454 2884 2908 5089 6203 10178 12406 20356 24812 43421 74881 86842 149762 173684 299524 524167 638909 1048334 1277818 2096668 2555636 4472363 4509581 8944726 9019162 17889452 18038324 31567067 63134134 126268268 464486843 928973686 1857947372 3251407901 6502815802 13005631604