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192434929920 = 2832517982613
BaseRepresentation
bin1011001100111000000…
…1000000000100000000
3200101201010021022021200
42303032001000010000
511123101320224140
6224223044221200
716621500626052
oct2631601000400
9611633238250
10192434929920
117467a557072
123136609a800
13151b9c2a54c
1494574b18d2
15501423c030
hex2cce040100

192434929920 has 216 divisors, whose sum is σ = 704970518616. Its totient is φ = 48297345024.

The previous prime is 192434929919. The next prime is 192434929927. The reversal of 192434929920 is 29929434291.

192434929920 is a `hidden beast` number, since 1 + 9 + 2 + 4 + 349 + 299 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68711088384 + 123723841536 = 262128^2 + 351744^2 .

It is a super-2 number, since 2×1924349299202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (192434929927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295467 + ... + 687146.

It is an arithmetic number, because the mean of its divisors is an integer number (3263752401).

Almost surely, 2192434929920 is an apocalyptic number.

192434929920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

192434929920 is an abundant number, since it is smaller than the sum of its proper divisors (512535588696).

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

192434929920 is a wasteful number, since it uses less digits than its factorization.

192434929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982657 (or 982640 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 192434929920 in words is "one hundred ninety-two billion, four hundred thirty-four million, nine hundred twenty-nine thousand, nine hundred twenty".