Search a number
-
+
312315764982 = 23132308003713
BaseRepresentation
bin1001000101101110111…
…10000110000011110110
31002212010211012201012220
410202313132012003312
520104110313434412
6355250442423210
731364322125604
oct4426736060366
91085124181186
10312315764982
111104a811a871
1250641b01b06
13235b3520b00
141118aa78874
1581cda0468c
hex48b77860f6

312315764982 has 24 divisors (see below), whose sum is σ = 676376155944. Its totient is φ = 96097158144.

The previous prime is 312315764899. The next prime is 312315764983. The reversal of 312315764982 is 289467513213.

312315764982 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3123157649822 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312315764983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154000843 + ... + 154002870.

It is an arithmetic number, because the mean of its divisors is an integer number (28182339831).

Almost surely, 2312315764982 is an apocalyptic number.

312315764982 is an abundant number, since it is smaller than the sum of its proper divisors (364060390962).

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

312315764982 is a wasteful number, since it uses less digits than its factorization.

312315764982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308003744 (or 308003731 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 312315764982 in words is "three hundred twelve billion, three hundred fifteen million, seven hundred sixty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 308003713 616007426 924011139 1848022278 4004048269 8008096538 12012144807 24024289614 52052627497 104105254994 156157882491 312315764982