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92639238144 = 2113194011979
BaseRepresentation
bin101011001000110111…
…0101001100000000000
322212010012001220020020
41112101232221200000
53004211121110034
6110320300213440
76456454350255
oct1262156514000
9285105056206
1092639238144
1136319486842
1215b5483a280
13897485305b
1446ab63542c
152622e0d249
hex1591ba9800

92639238144 has 192 divisors, whose sum is σ = 260756496000. Its totient is φ = 29166796800.

The previous prime is 92639238127. The next prime is 92639238259. The reversal of 92639238144 is 44183293629.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46810147 + ... + 46812125.

It is an arithmetic number, because the mean of its divisors is an integer number (1358106750).

Almost surely, 292639238144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92639238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130378248000).

92639238144 is an abundant number, since it is smaller than the sum of its proper divisors (168117257856).

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

92639238144 is a wasteful number, since it uses less digits than its factorization.

92639238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2404 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 92639238144 in words is "ninety-two billion, six hundred thirty-nine million, two hundred thirty-eight thousand, one hundred forty-four".