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93024824049 = 32192272396497
BaseRepresentation
bin101011010100010110…
…1100010101011110001
322220010001121200122200
41112220231202223301
53011003323332144
6110422432453413
76502145646363
oct1265055425361
9286101550580
1093024824049
11364a70a7183
12160419aa269
138a066b88b1
144706926d33
152646bc5c69
hex15a8b62af1

93024824049 has 24 divisors (see below), whose sum is σ = 142064401440. Its totient is φ = 58493674368.

The previous prime is 93024824029. The next prime is 93024824089. The reversal of 93024824049 is 94042842039.

It is a happy number.

93024824049 is a `hidden beast` number, since 93 + 0 + 2 + 482 + 40 + 49 = 666.

It is not a de Polignac number, because 93024824049 - 231 = 90877340401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 93024823995 and 93024824013.

It is not an unprimeable number, because it can be changed into a prime (93024824029) 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 23 ways as a sum of consecutive naturals, for example, 1159432 + ... + 1237065.

It is an arithmetic number, because the mean of its divisors is an integer number (5919350060).

Almost surely, 293024824049 is an apocalyptic number.

It is an amenable number.

93024824049 is a deficient number, since it is larger than the sum of its proper divisors (49039577391).

93024824049 is a wasteful number, since it uses less digits than its factorization.

93024824049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396749 (or 2396746 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 93024824049 in words is "ninety-three billion, twenty-four million, eight hundred twenty-four thousand, forty-nine".

Divisors: 1 3 9 19 57 171 227 681 2043 4313 12939 38817 2396497 7189491 21568473 45533443 136600329 409800987 544004819 1632014457 4896043371 10336091561 31008274683 93024824049