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57543316992 = 293272318221
BaseRepresentation
bin110101100101110110…
…010101011000000000
312111112021220101012200
4311211312111120000
51420322042120432
642233544553200
74104656060400
oct654566253000
9174467811180
1057543316992
112244977a827
12b19b182800
1355707b62c5
142adc4ba800
15176bc31a7c
hexd65d95600

57543316992 has 360 divisors, whose sum is σ = 199444145472. Its totient is φ = 15908659200.

The previous prime is 57543316991. The next prime is 57543316997. The reversal of 57543316992 is 29961334575.

57543316992 is a `hidden beast` number, since 5 + 7 + 543 + 3 + 1 + 6 + 9 + 92 = 666.

It is a super-2 number, since 2×575433169922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57543316991) 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, 6995442 + ... + 7003662.

Almost surely, 257543316992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57543316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99722072736).

57543316992 is an abundant number, since it is smaller than the sum of its proper divisors (141900828480).

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

57543316992 is a wasteful number, since it uses less digits than its factorization.

57543316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290 (or 8264 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The spelling of 57543316992 in words is "fifty-seven billion, five hundred forty-three million, three hundred sixteen thousand, nine hundred ninety-two".