Search a number
-
+
12962962962963 = 33131916981114467
BaseRepresentation
bin1011110010100010110011…
…0011010111101000010011
31200220020200011210002212000
42330220230303113220103
53144341122004303323
643323034124205043
72505354210105516
oct274505463275023
950806604702760
1012962962962963
11414861a715682
121554386099783
1373052c7203a0
1432b5a717cd7d
151772e2d79e43
hexbca2ccd7a13

12962962962963 has 64 divisors (see below), whose sum is σ = 21771630451200. Its totient is φ = 7556843859840.

The previous prime is 12962962962959. The next prime is 12962962962967. The reversal of 12962962962963 is 36926926926921.

12962962962963 is a `hidden beast` number, since 1 + 29 + 6 + 29 + 6 + 296 + 296 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (12962962962959) and next prime (12962962962967).

It is not a de Polignac number, because 12962962962963 - 22 = 12962962962959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12962962962891 and 12962962962900.

It is not an unprimeable number, because it can be changed into a prime (12962962962967) 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 63 ways as a sum of consecutive naturals, for example, 113189056 + ... + 113303522.

It is an arithmetic number, because the mean of its divisors is an integer number (340181725800).

Almost surely, 212962962962963 is an apocalyptic number.

12962962962963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12962962962963 is a deficient number, since it is larger than the sum of its proper divisors (8808667488237).

12962962962963 is a wasteful number, since it uses less digits than its factorization.

12962962962963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131489 (or 131483 counting only the distinct ones).

The product of its digits is 408146688, while the sum is 72.

The spelling of 12962962962963 in words is "twelve trillion, nine hundred sixty-two billion, nine hundred sixty-two million, nine hundred sixty-two thousand, nine hundred sixty-three".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 16981 50943 114467 152829 220753 322639 343401 458487 662259 967917 1030203 1488071 1986777 2174873 2903751 3090609 4194307 4464213 5960331 6524619 8711253 12582921 13392639 19573857 28273349 37748763 40177917 58721571 84820047 113246289 254460141 763380423 1943764127 5831292381 17493877143 25268933651 36931518413 52481631429 75806800953 110794555239 227420402859 332383665717 480109739369 682261208577 997150997151 1440329218107 4320987654321 12962962962963