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57252771712 = 272373266401
BaseRepresentation
bin110101010100100001…
…111111011110000000
312110210001012011000101
4311110201333132000
51414223202143322
642145045332144
74064530346533
oct652441773600
9173701164011
1057252771712
112230a773864
12b119a07054
135525548b16
142ab1a88a1a
15175148e327
hexd5487f780

57252771712 has 64 divisors (see below), whose sum is σ = 120648137760. Its totient is φ = 27006566400.

The previous prime is 57252771679. The next prime is 57252771739. The reversal of 57252771712 is 21717725275.

57252771712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81712 + ... + 348112.

Almost surely, 257252771712 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 57252771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60324068880).

57252771712 is an abundant number, since it is smaller than the sum of its proper divisors (63395366048).

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

57252771712 is a wasteful number, since it uses less digits than its factorization.

57252771712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266511 (or 266499 counting only the distinct ones).

The product of its digits is 480200, while the sum is 46.

The spelling of 57252771712 in words is "fifty-seven billion, two hundred fifty-two million, seven hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 292 368 584 736 1168 1472 1679 2336 2944 3358 4672 6716 9344 13432 26864 53728 107456 214912 266401 532802 1065604 2131208 4262416 6127223 8524832 12254446 17049664 19447273 24508892 34099328 38894546 49017784 77789092 98035568 155578184 196071136 311156368 392142272 447287279 622312736 784284544 894574558 1244625472 1789149116 2489250944 3578298232 7156596464 14313192928 28626385856 57252771712