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57692993904 = 2435713163063
BaseRepresentation
bin110101101110110001…
…010011100101110000
312111220201112202100000
4311232301103211300
51421123401301104
642300453030000
74111454233260
oct655661234560
9174821482300
1057692993904
1122516211257
12b221325300
135595801120
142b1431d7a0
151779e4a639
hexd6ec53970

57692993904 has 240 divisors, whose sum is σ = 206081587712. Its totient is φ = 15215641344.

The previous prime is 57692993899. The next prime is 57692993921. The reversal of 57692993904 is 40939929675.

57692993904 is a `hidden beast` number, since 5 + 76 + 92 + 99 + 390 + 4 = 666.

It is a super-2 number, since 2×576929939042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 272277 + ... + 435339.

Almost surely, 257692993904 is an apocalyptic number.

57692993904 is a gapful number since it is divisible by the number (54) 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 57692993904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103040793856).

57692993904 is an abundant number, since it is smaller than the sum of its proper divisors (148388593808).

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

57692993904 is a wasteful number, since it uses less digits than its factorization.

57692993904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163106 (or 163088 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 57692993904 in words is "fifty-seven billion, six hundred ninety-two million, nine hundred ninety-three thousand, nine hundred four".