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57403722240 = 293258632887
BaseRepresentation
bin110101011101100001…
…110100101000000000
312111011120020020012200
4311131201310220000
51420030323102430
642212040553200
74101342405534
oct653541645000
9174146206180
1057403722240
11223879a5167
12b160482800
13554a8bb567
142ac7b3dbc4
15175e85a460
hexd5d874a00

57403722240 has 240 divisors, whose sum is σ = 199104542208. Its totient is φ = 15284625408.

The previous prime is 57403722239. The next prime is 57403722283. The reversal of 57403722240 is 4222730475.

It is a happy number.

57403722240 is a `hidden beast` number, since 5 + 7 + 40 + 372 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57403722195 and 57403722204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19882077 + ... + 19884963.

Almost surely, 257403722240 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 57403722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99552271104).

57403722240 is an abundant number, since it is smaller than the sum of its proper divisors (141700819968).

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

57403722240 is a wasteful number, since it uses less digits than its factorization.

57403722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 57403722240 in words is "fifty-seven billion, four hundred three million, seven hundred twenty-two thousand, two hundred forty".