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13004986600 = 23522324111731
BaseRepresentation
bin11000001110010100…
…00101100011101000
31020120100011202210101
430013022011203220
5203113234032400
65550245555144
7640163363554
oct140712054350
936510152711
1013004986600
115573a80a11
12262b415ab4
1312c3429658
148b52a6864
15511ad956a
hex3072858e8

13004986600 has 96 divisors (see below), whose sum is σ = 31684847040. Its totient is φ = 4954752000.

The previous prime is 13004986591. The next prime is 13004986649. The reversal of 13004986600 is 668940031.

It is a self number, because there is not a number n which added to its sum of digits gives 13004986600.

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, 1102735 + ... + 1114465.

It is an arithmetic number, because the mean of its divisors is an integer number (330050490).

Almost surely, 213004986600 is an apocalyptic number.

13004986600 is a gapful number since it is divisible by the number (10) 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 13004986600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842423520).

13004986600 is an abundant number, since it is smaller than the sum of its proper divisors (18679860440).

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

13004986600 is a wasteful number, since it uses less digits than its factorization.

13004986600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 13004986600 in words is "thirteen billion, four million, nine hundred eighty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 241 460 482 575 920 964 1150 1205 1928 2300 2410 4600 4820 5543 6025 9640 11086 11731 12050 22172 23462 24100 27715 44344 46924 48200 55430 58655 93848 110860 117310 138575 221720 234620 269813 277150 293275 469240 539626 554300 586550 1079252 1108600 1173100 1349065 2158504 2346200 2698130 2827171 5396260 5654342 6745325 10792520 11308684 13490650 14135855 22617368 26981300 28271710 53962600 56543420 65024933 70679275 113086840 130049866 141358550 260099732 282717100 325124665 520199464 565434200 650249330 1300498660 1625623325 2600997320 3251246650 6502493300 13004986600