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57842463744 = 2103313236997
BaseRepresentation
bin110101110111101011…
…011111010000000000
312112022010210121102000
4311313223133100000
51421430132314434
642323352424000
74115250554352
oct656753372000
9175263717360
1057842463744
112259262114a
12b2633a8000
1355ba775910
142b2a10b0d2
151788122b99
hexd77adf400

57842463744 has 352 divisors, whose sum is σ = 192526736640. Its totient is φ = 17021435904.

The previous prime is 57842463733. The next prime is 57842463751. The reversal of 57842463744 is 44736424875.

57842463744 is a `hidden beast` number, since 5 + 78 + 42 + 463 + 74 + 4 = 666.

It is a super-2 number, since 2×578424637442 (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8263254 + ... + 8270250.

Almost surely, 257842463744 is an apocalyptic number.

57842463744 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 57842463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96263368320).

57842463744 is an abundant number, since it is smaller than the sum of its proper divisors (134684272896).

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

57842463744 is a wasteful number, since it uses less digits than its factorization.

57842463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7062 (or 7038 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 57842463744 in words is "fifty-seven billion, eight hundred forty-two million, four hundred sixty-three thousand, seven hundred forty-four".