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13039678640 = 2451765314683
BaseRepresentation
bin11000010010011100…
…11011010010110000
31020122202110022022202
430021032123102300
5203201124204030
65553525322332
7641064303542
oct141116332260
936582408282
1013039678640
11559161661a
12263ab663a8
1312ca6851a1
148b9b37692
15514b8d745
hex30939b4b0

13039678640 has 80 divisors (see below), whose sum is σ = 32151968928. Its totient is φ = 4901203968.

The previous prime is 13039678621. The next prime is 13039678643. The reversal of 13039678640 is 4687693031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13039678643) 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, 880739 + ... + 895421.

Almost surely, 213039678640 is an apocalyptic number.

13039678640 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 13039678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075984464).

13039678640 is an abundant number, since it is smaller than the sum of its proper divisors (19112290288).

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

13039678640 is a wasteful number, since it uses less digits than its factorization.

13039678640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15366 (or 15360 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 13039678640 in words is "thirteen billion, thirty-nine million, six hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 653 680 1306 1360 2612 3265 5224 6530 10448 11101 13060 14683 22202 26120 29366 44404 52240 55505 58732 73415 88808 111010 117464 146830 177616 222020 234928 249611 293660 444040 499222 587320 888080 998444 1174640 1248055 1996888 2496110 3993776 4992220 9587999 9984440 19175998 19968880 38351996 47939995 76703992 95879990 153407984 162995983 191759980 325991966 383519960 651983932 767039920 814979915 1303967864 1629959830 2607935728 3259919660 6519839320 13039678640