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13161886560 = 253353046733
BaseRepresentation
bin11000100001000001…
…00111001101100000
31020222021102010002000
430100200213031200
5203423420332220
610014012524000
7644110122054
oct142040471540
936867363060
1013161886560
1156445a61a9
122673a80600
131319aa3074
148cc069c64
1552077d390
hex310827360

13161886560 has 96 divisors (see below), whose sum is σ = 46066618080. Its totient is φ = 3509835264.

The previous prime is 13161886559. The next prime is 13161886567. The reversal of 13161886560 is 6568816131.

13161886560 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 8 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161886567) 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, 1519047 + ... + 1527686.

It is an arithmetic number, because the mean of its divisors is an integer number (479860605).

Almost surely, 213161886560 is an apocalyptic number.

13161886560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13161886560 is an abundant number, since it is smaller than the sum of its proper divisors (32904731520).

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

13161886560 is a wasteful number, since it uses less digits than its factorization.

13161886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046757 (or 3046743 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 1316 and 1886560, that added together give a square (1887876 = 13742).

The spelling of 13161886560 in words is "thirteen billion, one hundred sixty-one million, eight hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 3046733 6093466 9140199 12186932 15233665 18280398 24373864 27420597 30467330 36560796 45700995 48747728 54841194 60934660 73121592 82261791 91401990 97495456 109682388 121869320 137102985 146243184 164523582 182803980 219364776 243738640 274205970 292486368 329047164 365607960 411308955 438729552 487477280 548411940 658094328 731215920 822617910 877459104 1096823880 1316188656 1462431840 1645235820 2193647760 2632377312 3290471640 4387295520 6580943280 13161886560