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13150168560 = 2437575161
BaseRepresentation
bin11000011111100111…
…11010010111110000
31020221110100210000000
430033303322113300
5203412420343220
610012513430000
7643605405564
oct141763722760
936843323000
1013150168560
115638a22301
12266bb6b300
13131752c539
148ca6996a4
1551e716390
hex30fcfa5f0

13150168560 has 160 divisors (see below), whose sum is σ = 45854832960. Its totient is φ = 3506664960.

The previous prime is 13150168543. The next prime is 13150168601. The reversal of 13150168560 is 6586105131.

13150168560 is a `hidden beast` number, since 1 + 31 + 5 + 0 + 1 + 68 + 560 = 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 31 ways as a sum of consecutive naturals, for example, 137380 + ... + 212540.

It is an arithmetic number, because the mean of its divisors is an integer number (286592706).

Almost surely, 213150168560 is an apocalyptic number.

13150168560 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 13150168560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927416480).

13150168560 is an abundant number, since it is smaller than the sum of its proper divisors (32704664400).

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

13150168560 is an frugal number, since it uses more digits than its factorization.

13150168560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75195 (or 75171 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 13150168560 in words is "thirteen billion, one hundred fifty million, one hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2187 2430 2916 3240 3645 3888 4374 4860 5832 6480 7290 8748 9720 10935 11664 14580 17496 19440 21870 29160 34992 43740 58320 75161 87480 150322 174960 225483 300644 375805 450966 601288 676449 751610 901932 1127415 1202576 1352898 1503220 1803864 2029347 2254830 2705796 3006440 3382245 3607728 4058694 4509660 5411592 6012880 6088041 6764490 8117388 9019320 10146735 10823184 12176082 13528980 16234776 18038640 18264123 20293470 24352164 27057960 30440205 32469552 36528246 40586940 48704328 54115920 54792369 60880410 73056492 81173880 91320615 97408656 109584738 121760820 146112984 162347760 164377107 182641230 219169476 243521640 273961845 292225968 328754214 365282460 438338952 487043280 547923690 657508428 730564920 821885535 876677904 1095847380 1315016856 1461129840 1643771070 2191694760 2630033712 3287542140 4383389520 6575084280 13150168560