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57842360136 = 2332111967103557
BaseRepresentation
bin110101110111101011…
…000101111101001000
312112022010121100021200
4311313223011331020
51421430121011021
642323350304200
74115246643321
oct656753057510
9175263540250
1057842360136
1122592560320
12b263358060
1355ba73a702
142b2a0c1448
151788102126
hexd77ac5f48

57842360136 has 384 divisors, whose sum is σ = 184681036800. Its totient is φ = 16169725440.

The previous prime is 57842360131. The next prime is 57842360143. The reversal of 57842360136 is 63106324875.

57842360136 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 2 + 3 + 601 + 36 = 666.

It is a super-2 number, since 2×578423601362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57842360091 and 57842360100.

It is not an unprimeable number, because it can be changed into a prime (57842360131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103845970 + ... + 103846526.

It is an arithmetic number, because the mean of its divisors is an integer number (480940200).

Almost surely, 257842360136 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 57842360136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92340518400).

57842360136 is an abundant number, since it is smaller than the sum of its proper divisors (126838676664).

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

57842360136 is a wasteful number, since it uses less digits than its factorization.

57842360136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57842360136 in words is "fifty-seven billion, eight hundred forty-two million, three hundred sixty thousand, one hundred thirty-six".