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185146452468 = 22325142957013
BaseRepresentation
bin1010110001101110010…
…1101010100111110100
3122200220011201021211100
42230123211222213310
511013134442434333
6221015523010100
716243046610465
oct2543345524764
9580804637740
10185146452468
117157a38908a
122ba71209930
13145c7c2c3b3
148d65500d6c
154c3943d213
hex2b1b96a9f4

185146452468 has 18 divisors (see below), whose sum is σ = 468009088274. Its totient is φ = 61715484144.

The previous prime is 185146452467. The next prime is 185146452487. The reversal of 185146452468 is 864254641581.

185146452468 is a `hidden beast` number, since 1 + 8 + 5 + 146 + 452 + 46 + 8 = 666.

185146452468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 145792621584 + 39353830884 = 381828^2 + 198378^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1851464524682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185146452467) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2571478471 + ... + 2571478542.

Almost surely, 2185146452468 is an apocalyptic number.

185146452468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

185146452468 is an abundant number, since it is smaller than the sum of its proper divisors (282862635806).

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

185146452468 is a wasteful number, since it uses less digits than its factorization.

185146452468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142957023 (or 5142957018 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 185146452468 in words is "one hundred eighty-five billion, one hundred forty-six million, four hundred fifty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 5142957013 10285914026 15428871039 20571828052 30857742078 46286613117 61715484156 92573226234 185146452468