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13312193580 = 2232573215617
BaseRepresentation
bin11000110010111011…
…11111010000101100
31021100202020111112200
430121131333100230
5204230410143310
610040542301500
7650613531000
oct143135772054
937322214480
1013312193580
115711428084
1226b6287890
131341c7b92a
14903dd4700
1552da6d9c0
hex31977f42c

13312193580 has 144 divisors (see below), whose sum is σ = 47090971200. Its totient is φ = 3042772992.

The previous prime is 13312193563. The next prime is 13312193593. The reversal of 13312193580 is 8539121331.

13312193580 is a `hidden beast` number, since 1 + 331 + 219 + 35 + 80 = 666.

It is a super-2 number, since 2×133121935802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46069 + ... + 169548.

Almost surely, 213312193580 is an apocalyptic number.

13312193580 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 13312193580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23545485600).

13312193580 is an abundant number, since it is smaller than the sum of its proper divisors (33778777620).

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

13312193580 is a wasteful number, since it uses less digits than its factorization.

13312193580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215653 (or 215634 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13312193580 in words is "thirteen billion, three hundred twelve million, one hundred ninety-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 15435 20580 30870 61740 215617 431234 646851 862468 1078085 1293702 1509319 1940553 2156170 2587404 3018638 3234255 3881106 4312340 4527957 6037276 6468510 7546595 7762212 9055914 9702765 10565233 12937020 13583871 15093190 18111828 19405530 21130466 22639785 27167742 30186380 31695699 38811060 42260932 45279570 52826165 54335484 63391398 67919355 73956631 90559140 95087097 105652330 126782796 135838710 147913262 158478495 190174194 211304660 221869893 271677420 295826524 316956990 369783155 380348388 443739786 475435485 633913980 665609679 739566310 887479572 950870970 1109349465 1331219358 1479132620 1901741940 2218698930 2662438716 3328048395 4437397860 6656096790 13312193580