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13074493992 = 2337283133949
BaseRepresentation
bin11000010110100110…
…01111001000101000
31020202011222010000020
430023103033020220
5203234032301432
610001211440440
7641666236200
oct141323171050
936664863006
1013074493992
1155aa23593a
12264a756120
131304954ba1
148c05db400
15517c6922c
hex30b4cf228

13074493992 has 96 divisors (see below), whose sum is σ = 38481156000. Its totient is φ = 3690535296.

The previous prime is 13074493973. The next prime is 13074494039. The reversal of 13074493992 is 29939447031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30634 + ... + 164582.

It is an arithmetic number, because the mean of its divisors is an integer number (400845375).

Almost surely, 213074493992 is an apocalyptic number.

13074493992 is a gapful number since it is divisible by the number (12) 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 13074493992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240578000).

13074493992 is an abundant number, since it is smaller than the sum of its proper divisors (25406662008).

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

13074493992 is a wasteful number, since it uses less digits than its factorization.

13074493992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134055 (or 134044 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 13074493992 in words is "thirteen billion, seventy-four million, four hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 83 84 98 147 166 168 196 249 294 332 392 498 581 588 664 996 1162 1176 1743 1992 2324 3486 4067 4648 6972 8134 12201 13944 16268 24402 32536 48804 97608 133949 267898 401847 535796 803694 937643 1071592 1607388 1875286 2812929 3214776 3750572 5625858 6563501 7501144 11117767 11251716 13127002 19690503 22235534 22503432 26254004 33353301 39381006 44471068 52508008 66706602 77824369 78762012 88942136 133413204 155648738 157524024 233473107 266826408 311297476 466946214 544770583 622594952 933892428 1089541166 1634311749 1867784856 2179082332 3268623498 4358164664 6537246996 13074493992