Search a number
-
+
13331748696 = 233731985237
BaseRepresentation
bin11000110101010001…
…00101011101011000
31021102010001000010020
430122220211131120
5204300411424241
610042521350440
7651241665000
oct143250453530
937363030106
1013331748696
115721474132
122700938420
1313460376c6
14906845000
15530632b66
hex31aa25758

13331748696 has 128 divisors (see below), whose sum is σ = 40914240000. Its totient is φ = 3608551296.

The previous prime is 13331748671. The next prime is 13331748713. The reversal of 13331748696 is 69684713331.

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, 113790 + ... + 199026.

It is an arithmetic number, because the mean of its divisors is an integer number (319642500).

Almost surely, 213331748696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331748696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20457120000).

13331748696 is an abundant number, since it is smaller than the sum of its proper divisors (27582491304).

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

13331748696 is a wasteful number, since it uses less digits than its factorization.

13331748696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85286 (or 85268 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 13331748696 in words is "thirteen billion, three hundred thirty-one million, seven hundred forty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 343 392 399 456 532 588 686 798 931 1029 1064 1176 1372 1596 1862 2058 2744 2793 3192 3724 4116 5586 6517 7448 8232 11172 13034 19551 22344 26068 39102 52136 78204 85237 156408 170474 255711 340948 511422 596659 681896 1022844 1193318 1619503 1789977 2045688 2386636 3239006 3579954 4176613 4773272 4858509 6478012 7159908 8353226 9717018 11336521 12529839 12956024 14319816 16706452 19434036 22673042 25059678 29236291 33412904 34009563 38868072 45346084 50119356 58472582 68019126 79355647 87708873 90692168 100238712 116945164 136038252 158711294 175417746 233890328 238066941 272076504 317422588 350835492 476133882 555489529 634845176 701670984 952267764 1110979058 1666468587 1904535528 2221958116 3332937174 4443916232 6665874348 13331748696