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57413389950 = 23352721372843
BaseRepresentation
bin110101011110000110…
…101100111001111110
312111012020102101211000
4311132012230321332
51420040311434300
642213024111130
74101520522350
oct653606547176
9174166371730
1057413389950
11223923a8704
12b1637654a6
13554c8c4ab7
142ac91390d0
151760619c00
hexd5e1ace7e

57413389950 has 192 divisors, whose sum is σ = 180954846720. Its totient is φ = 13112305920.

The previous prime is 57413389949. The next prime is 57413389987. The reversal of 57413389950 is 5998331475.

57413389950 is a `hidden beast` number, since 574 + 13 + 3 + 8 + 9 + 9 + 50 = 666.

It is a super-2 number, since 2×574133899502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20193229 + ... + 20196071.

It is an arithmetic number, because the mean of its divisors is an integer number (942473160).

Almost surely, 257413389950 is an apocalyptic number.

57413389950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57413389950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90477423360).

57413389950 is an abundant number, since it is smaller than the sum of its proper divisors (123541456770).

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

57413389950 is a wasteful number, since it uses less digits than its factorization.

57413389950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 57413389950 in words is "fifty-seven billion, four hundred thirteen million, three hundred eighty-nine thousand, nine hundred fifty".