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57660242292 = 22328363191519
BaseRepresentation
bin110101101100110100…
…010111100101110100
312111211102220210120100
4311230310113211310
51421042010223132
642253323034100
74110605654442
oct655464274564
9174742823510
1057660242292
11224a9781504
12b21236b930
13558baa4883
142b0dc35b92
15177712b37c
hexd6cd17974

57660242292 has 36 divisors (see below), whose sum is σ = 145770468480. Its totient is φ = 19217682192.

The previous prime is 57660242287. The next prime is 57660242317. The reversal of 57660242292 is 29224206675.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×576602422924 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205309 + ... + 396827.

It is an arithmetic number, because the mean of its divisors is an integer number (4049179680).

Almost surely, 257660242292 is an apocalyptic number.

It is an amenable number.

57660242292 is an abundant number, since it is smaller than the sum of its proper divisors (88110226188).

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

57660242292 is a wasteful number, since it uses less digits than its factorization.

57660242292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199892 (or 199887 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 57660242292 in words is "fifty-seven billion, six hundred sixty million, two hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 8363 16726 25089 33452 50178 75267 100356 150534 191519 301068 383038 574557 766076 1149114 1723671 2298228 3447342 6894684 1601673397 3203346794 4805020191 6406693588 9610040382 14415060573 19220080764 28830121146 57660242292