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149716593 = 3413210937
BaseRepresentation
bin10001110110001…
…11111001110001
3101102201101120000
420323013321301
5301311412333
622504540213
73465366345
oct1073077161
9342641500
10149716593
1177569324
1242181669
132502cc00
1415c53625
15d225713
hex8ec7e71

149716593 has 30 divisors (see below), whose sum is σ = 242200134. Its totient is φ = 92124864.

The previous prime is 149716537. The next prime is 149716607. The reversal of 149716593 is 395617941.

149716593 is a `hidden beast` number, since 1 + 49 + 7 + 16 + 593 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12194064 + 137522529 = 3492^2 + 11727^2 .

It is not a de Polignac number, because 149716593 - 26 = 149716529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149716513) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8221 + ... + 19157.

Almost surely, 2149716593 is an apocalyptic number.

149716593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

149716593 is a deficient number, since it is larger than the sum of its proper divisors (92483541).

149716593 is a wasteful number, since it uses less digits than its factorization.

149716593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10975 (or 10953 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 149716593 is about 12235.8732013698. The cubic root of 149716593 is about 530.9944459823.

The spelling of 149716593 in words is "one hundred forty-nine million, seven hundred sixteen thousand, five hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 10937 13689 32811 98433 142181 295299 426543 885897 1279629 1848353 3838887 5545059 11516661 16635177 49905531 149716593