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182934940968 = 2333132311391163
BaseRepresentation
bin1010101001011111000…
…1011010110100101000
3122111012001100212101000
42222113301122310220
510444122321102333
6220012242355000
716134204225213
oct2522761326450
9574161325330
10182934940968
117064500682a
122b55465ba60
13143349ca200
148bd590877a
154b5a1ea713
hex2a97c5ad28

182934940968 has 384 divisors, whose sum is σ = 572576256000. Its totient is φ = 54033557760.

The previous prime is 182934940967. The next prime is 182934941003. The reversal of 182934940968 is 869049439281.

182934940968 is a `hidden beast` number, since 1 + 82 + 9 + 3 + 494 + 0 + 9 + 68 = 666.

182934940968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (182934940967) 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 95 ways as a sum of consecutive naturals, for example, 157295155 + ... + 157296317.

It is an arithmetic number, because the mean of its divisors is an integer number (1491084000).

Almost surely, 2182934940968 is an apocalyptic number.

182934940968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182934940968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286288128000).

182934940968 is an abundant number, since it is smaller than the sum of its proper divisors (389641315032).

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

182934940968 is a wasteful number, since it uses less digits than its factorization.

182934940968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 182934940968 in words is "one hundred eighty-two billion, nine hundred thirty-four million, nine hundred forty thousand, nine hundred sixty-eight".