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57431402100 = 223252174736527
BaseRepresentation
bin110101011111001011…
…011010011001110100
312111020111022111211200
4311133023122121310
51420104414331400
642214510132500
74102126602042
oct653713323164
9174214274750
1057431402100
11223a1590486
12b1697b1130
135553560487
142acb6a7392
151761ec6b00
hexd5f2da674

57431402100 has 108 divisors (see below), whose sum is σ = 180123513024. Its totient is φ = 15305855040.

The previous prime is 57431402089. The next prime is 57431402101. The reversal of 57431402100 is 120413475.

57431402100 is a `hidden beast` number, since 574 + 31 + 40 + 21 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57431402101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554037 + ... + 1590563.

Almost surely, 257431402100 is an apocalyptic number.

57431402100 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 57431402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90061756512).

57431402100 is an abundant number, since it is smaller than the sum of its proper divisors (122692110924).

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

57431402100 is a wasteful number, since it uses less digits than its factorization.

57431402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38294 (or 38284 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 57431402100 its reverse (120413475), we get a palindrome (57551815575).

The spelling of 57431402100 in words is "fifty-seven billion, four hundred thirty-one million, four hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1747 3494 5241 6988 8735 10482 15723 17470 20964 26205 31446 34940 36527 43675 52410 62892 73054 78615 87350 104820 109581 131025 146108 157230 174700 182635 219162 262050 314460 328743 365270 393075 438324 524100 547905 657486 730540 786150 913175 1095810 1314972 1572300 1643715 1826350 2191620 2739525 3287430 3652700 5479050 6574860 8218575 10958100 16437150 32874300 63812669 127625338 191438007 255250676 319063345 382876014 574314021 638126690 765752028 957190035 1148628042 1276253380 1595316725 1914380070 2297256084 2871570105 3190633450 3828760140 4785950175 5743140210 6381266900 9571900350 11486280420 14357850525 19143800700 28715701050 57431402100