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5857000175376 = 2432724726132
BaseRepresentation
bin101010100111011000001…
…1010100011011100010000
3202201220221102010210101100
41111032300122203130100
51231430114021103001
620242400240304400
71143103632026400
oct125166032433420
922656842123340
105857000175376
111958a379a8709
127a7161612100
1333640b14835c
141636a2002800
15a2549c09586
hex553b06a3710

5857000175376 has 405 divisors, whose sum is σ = 19513782516501. Its totient is φ = 1635151940352.

The previous prime is 5857000175353. The next prime is 5857000175401. The reversal of 5857000175376 is 6735710007585.

The square root of 5857000175376 is 2420124.

It is a perfect power (a square), and thus also a powerful number.

5857000175376 is a `hidden beast` number, since 5 + 8 + 570 + 0 + 0 + 17 + 53 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19093712400 + 5837906462976 = 138180^2 + 2416176^2 .

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 80 ways as a sum of consecutive naturals, for example, 9554649246 + ... + 9554649858.

Almost surely, 25857000175376 is an apocalyptic number.

5857000175376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5857000175376 is the 2420124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5857000175376

5857000175376 is an abundant number, since it is smaller than the sum of its proper divisors (13656782341125).

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

5857000175376 is an equidigital number, since it uses as much as digits as its factorization.

5857000175376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 5857000175376 in words is "five trillion, eight hundred fifty-seven billion, one hundred seventy-five thousand, three hundred seventy-six".