Search a number
-
+
52624043541 = 3217343947997
BaseRepresentation
bin110001000000101000…
…110010111000010101
312000211110102101122200
4301000220302320111
51330233223343131
640101455515113
73542033663316
oct610050627025
9160743371580
1052624043541
112035499a883
12a247828a99
134c685b0704
14279303060d
15157ee242e6
hexc40a32e15

52624043541 has 12 divisors (see below), whose sum is σ = 80483831532. Its totient is φ = 33019007616.

The previous prime is 52624043531. The next prime is 52624043551. The reversal of 52624043541 is 14534042625.

52624043541 is a `hidden beast` number, since 5 + 262 + 40 + 4 + 354 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (52624043531) and next prime (52624043551).

It can be written as a sum of positive squares in 2 ways, for example, as 28105181316 + 24518862225 = 167646^2 + 156585^2 .

It is not a de Polignac number, because 52624043541 - 26 = 52624043477 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 52624043496 and 52624043505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52624043531) 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, 171973846 + ... + 171974151.

It is an arithmetic number, because the mean of its divisors is an integer number (6706985961).

Almost surely, 252624043541 is an apocalyptic number.

52624043541 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

52624043541 is a deficient number, since it is larger than the sum of its proper divisors (27859787991).

52624043541 is a wasteful number, since it uses less digits than its factorization.

52624043541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343948020 (or 343948017 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 52624043541 in words is "fifty-two billion, six hundred twenty-four million, forty-three thousand, five hundred forty-one".

Divisors: 1 3 9 17 51 153 343947997 1031843991 3095531973 5847115949 17541347847 52624043541