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13244632960 = 275134337021
BaseRepresentation
bin11000101010111000…
…10000111110000000
31021012001010001210111
430111130100332000
5204111111223320
610030130241104
7646133344156
oct142534207600
937161101714
1013244632960
115687282859
122697726194
131330c85530
148d90493d6
15527b75a5a
hex315710f80

13244632960 has 128 divisors (see below), whose sum is σ = 34892494560. Its totient is φ = 4776468480.

The previous prime is 13244632939. The next prime is 13244632967. The reversal of 13244632960 is 6923644231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13244632967) 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, 339250 + ... + 376270.

Almost surely, 213244632960 is an apocalyptic number.

13244632960 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 13244632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446247280).

13244632960 is an abundant number, since it is smaller than the sum of its proper divisors (21647861600).

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

13244632960 is a wasteful number, since it uses less digits than its factorization.

13244632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37096 (or 37084 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 13244632960 in words is "thirteen billion, two hundred forty-four million, six hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 128 130 160 172 208 215 260 320 344 416 430 520 559 640 688 832 860 1040 1118 1376 1664 1720 2080 2236 2752 2795 3440 4160 4472 5504 5590 6880 8320 8944 11180 13760 17888 22360 27520 35776 37021 44720 71552 74042 89440 148084 178880 185105 296168 357760 370210 481273 592336 740420 962546 1184672 1480840 1591903 1925092 2369344 2406365 2961680 3183806 3850184 4738688 4812730 5923360 6367612 7700368 7959515 9625460 11846720 12735224 15400736 15919030 19250920 20694739 23693440 25470448 30801472 31838060 38501840 41389478 50940896 61602944 63676120 77003680 82778956 101881792 103473695 127352240 154007360 165557912 203763584 206947390 254704480 308014720 331115824 413894780 509408960 662231648 827789560 1018817920 1324463296 1655579120 2648926592 3311158240 6622316480 13244632960