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3133992810 = 2351319577733
BaseRepresentation
bin1011101011001100…
…1110111101101010
322002102011022220210
42322303032331222
522404300232220
61234552201550
7140443333164
oct27263167552
98072138823
103133992810
11136906a203
127356992b6
133ac39a520
1421a325934
151352106e0
hexbaccef6a

3133992810 has 128 divisors (see below), whose sum is σ = 8552920320. Its totient is φ = 728580096.

The previous prime is 3133992787. The next prime is 3133992817. The reversal of 3133992810 is 182993313.

It is a super-2 number, since 2×31339928102 = 19643821866263392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3133992817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4275204 + ... + 4275936.

It is an arithmetic number, because the mean of its divisors is an integer number (66819690).

Almost surely, 23133992810 is an apocalyptic number.

3133992810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133992810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276460160).

3133992810 is an abundant number, since it is smaller than the sum of its proper divisors (5418927510).

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

3133992810 is a wasteful number, since it uses less digits than its factorization.

3133992810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352.

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 3133992810 is about 55982.0757921676. The cubic root of 3133992810 is about 1463.4099332686.

The spelling of 3133992810 in words is "three billion, one hundred thirty-three million, nine hundred ninety-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 577 733 741 1154 1235 1466 1482 1731 2199 2470 2885 3462 3665 3705 4398 5770 7330 7410 7501 8655 9529 10963 10995 13927 15002 17310 19058 21926 21990 22503 27854 28587 32889 37505 41781 45006 47645 54815 57174 65778 69635 75010 83562 95290 109630 112515 139270 142519 142935 164445 181051 208905 225030 285038 285870 328890 362102 417810 422941 427557 543153 712595 845882 855114 905255 1086306 1268823 1425190 1810510 2114705 2137785 2537646 2715765 4229410 4275570 5431530 5498233 6344115 8035879 10996466 12688230 16071758 16494699 24107637 27491165 32989398 40179395 48215274 54982330 80358790 82473495 104466427 120538185 164946990 208932854 241076370 313399281 522332135 626798562 1044664270 1566996405 3133992810