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231829136640 = 28335232989113
BaseRepresentation
bin1101011111101000010…
…1111110010100000000
3211011101120102100122000
43113322011332110000
512244241224333030
6254300102544000
722514641101513
oct3277205762400
9734346370560
10231829136640
118a35555a702
1238b1b138000
1318b2763633a
14b313428d7a
15606c95e860
hex35fa17e500

231829136640 has 1152 divisors, whose sum is σ = 905966208000. Its totient is φ = 55953063936.

The previous prime is 231829136639. The next prime is 231829136689. The reversal of 231829136640 is 46631928132.

231829136640 is a `hidden beast` number, since 2 + 318 + 291 + 3 + 6 + 6 + 40 = 666.

231829136640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2051585224 + ... + 2051585336.

It is an arithmetic number, because the mean of its divisors is an integer number (786429000).

Almost surely, 2231829136640 is an apocalyptic number.

231829136640 is a gapful number since it is divisible by the number (20) 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 231829136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452983104000).

231829136640 is an abundant number, since it is smaller than the sum of its proper divisors (674137071360).

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

231829136640 is a wasteful number, since it uses less digits than its factorization.

231829136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 231829136640 in words is "two hundred thirty-one billion, eight hundred twenty-nine million, one hundred thirty-six thousand, six hundred forty".