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57697452960 = 2535723179133
BaseRepresentation
bin110101101111000010…
…010100001110100000
312111221000221022000020
4311233002110032200
51421131021443320
642301132353440
74111540154400
oct655702241640
9174830838006
1057697452960
1122518787424
12b222915880
135596702914
142b14b60800
15177a52b940
hexd6f0943a0

57697452960 has 288 divisors, whose sum is σ = 218242708992. Its totient is φ = 12762408960.

The previous prime is 57697452959. The next prime is 57697452971. The reversal of 57697452960 is 6925479675.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 57697452894 and 57697452903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689554 + ... + 768686.

It is an arithmetic number, because the mean of its divisors is an integer number (757787184).

Almost surely, 257697452960 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 57697452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109121354496).

57697452960 is an abundant number, since it is smaller than the sum of its proper divisors (160545256032).

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

57697452960 is a wasteful number, since it uses less digits than its factorization.

57697452960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79196 (or 79181 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 57697452960 in words is "fifty-seven billion, six hundred ninety-seven million, four hundred fifty-two thousand, nine hundred sixty".