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57398471424 = 283472173323
BaseRepresentation
bin110101011101001101…
…110010101100000000
312111011012100110110000
4311131031302230000
51420023002041144
642211332240000
74101246646200
oct653515625400
9174135313400
1057398471424
1122384a39148
12b15a770000
1355497a0578
142ac7174400
15175e16e769
hexd5d372b00

57398471424 has 540 divisors, whose sum is σ = 210869926344. Its totient is φ = 15430238208.

The previous prime is 57398471423. The next prime is 57398471453. The reversal of 57398471424 is 42417489375.

57398471424 is a `hidden beast` number, since 5 + 73 + 9 + 84 + 71 + 424 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57398471423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17271427 + ... + 17274749.

Almost surely, 257398471424 is an apocalyptic number.

57398471424 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 57398471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105434963172).

57398471424 is an abundant number, since it is smaller than the sum of its proper divisors (153471454920).

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

57398471424 is a wasteful number, since it uses less digits than its factorization.

57398471424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3352 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 57398471424 in words is "fifty-seven billion, three hundred ninety-eight million, four hundred seventy-one thousand, four hundred twenty-four".