Search a number
-
+
31467207642 = 23134097571303
BaseRepresentation
bin11101010011100101…
…110111101111011010
310000020000002202212220
4131103211313233122
51003421101121032
622242243244510
72162533565103
oct352345675732
9100200082786
1031467207642
1112388466932
126122379736
132c763453c0
1417472533aa
15c4284712c
hex753977bda

31467207642 has 64 divisors (see below), whose sum is σ = 68083196160. Its totient is φ = 9638383104.

The previous prime is 31467207641. The next prime is 31467207763. The reversal of 31467207642 is 24670276413.

It is a junction number, because it is equal to n+sod(n) for n = 31467207594 and 31467207603.

It is not an unprimeable number, because it can be changed into a prime (31467207641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24149163 + ... + 24150465.

It is an arithmetic number, because the mean of its divisors is an integer number (1063799940).

Almost surely, 231467207642 is an apocalyptic number.

31467207642 is an abundant number, since it is smaller than the sum of its proper divisors (36615988518).

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

31467207642 is a wasteful number, since it uses less digits than its factorization.

31467207642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487.

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 31467207642 in words is "thirty-one billion, four hundred sixty-seven million, two hundred seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 409 757 818 1227 1303 1514 2271 2454 2606 3909 4542 5317 7818 9841 10634 15951 16939 19682 29523 31902 33878 50817 59046 101634 309613 532927 619226 928839 986371 1065854 1598781 1857678 1972742 2959113 3197562 4024969 5918226 6928051 8049938 12074907 12822823 13856102 20784153 24149814 25645646 38468469 41568306 76936938 403425739 806851478 1210277217 2420554434 5244534607 10489069214 15733603821 31467207642