Search a number
-
+
45943512606 = 23326315312113
BaseRepresentation
bin101010110010011100…
…100101111000011110
311101120212211021001000
4222302130211320132
51223043014400411
633034532531130
73214344261615
oct526234457036
9141525737030
1045943512606
1118536a08032
128aa2480aa6
134442531124
14231bab487c
1512dd6b2956
hexab2725e1e

45943512606 has 64 divisors (see below), whose sum is σ = 102600368640. Its totient is φ = 15239093760.

The previous prime is 45943512581. The next prime is 45943512607. The reversal of 45943512606 is 60621534954.

45943512606 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 35 + 1 + 2 + 606 = 666.

It is a super-2 number, since 2×459435126062 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45943512607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21742206 + ... + 21744318.

It is an arithmetic number, because the mean of its divisors is an integer number (1603130760).

Almost surely, 245943512606 is an apocalyptic number.

45943512606 is an abundant number, since it is smaller than the sum of its proper divisors (56656856034).

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

45943512606 is a wasteful number, since it uses less digits than its factorization.

45943512606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 45943512606 in words is "forty-five billion, nine hundred forty-three million, five hundred twelve thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 263 526 789 1531 1578 2113 2367 3062 4226 4593 4734 6339 7101 9186 12678 13779 14202 19017 27558 38034 41337 57051 82674 114102 402653 555719 805306 1111438 1207959 1667157 2415918 3235003 3334314 3623877 5001471 6470006 7247754 9705009 10002942 10871631 15004413 19410018 21743262 29115027 30008826 58230054 87345081 174690162 850805789 1701611578 2552417367 5104834734 7657252101 15314504202 22971756303 45943512606