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57939219000 = 2335531318341
BaseRepresentation
bin110101111101011100…
…100101001000111000
312112112212212021200000
4311331130211020320
51422124420002000
642341130313000
74120534143555
oct657534451070
9175485767600
1057939219000
11226321a6873
12b28b888760
135604821550
142b38cd5a2c
151791886000
hexd7d725238

57939219000 has 384 divisors, whose sum is σ = 218721746880. Its totient is φ = 14261184000.

The previous prime is 57939218989. The next prime is 57939219047. The reversal of 57939219000 is 91293975.

It is a happy number.

57939219000 is a `hidden beast` number, since 5 + 79 + 392 + 190 + 0 + 0 = 666.

It is a super-2 number, since 2×579392190002 (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3149830 + ... + 3168170.

Almost surely, 257939219000 is an apocalyptic number.

57939219000 is a gapful number since it is divisible by the number (50) 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 57939219000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109360873440).

57939219000 is an abundant number, since it is smaller than the sum of its proper divisors (160782527880).

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

57939219000 is a wasteful number, since it uses less digits than its factorization.

57939219000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18390 (or 18364 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 57939219000 in words is "fifty-seven billion, nine hundred thirty-nine million, two hundred nineteen thousand".