Search a number
-
+
57024593472 = 26371121093217
BaseRepresentation
bin110101000110111011…
…100011111001000000
312110012010211111022110
4311012323203321000
51413241243442342
642110254535320
74056060022050
oct650673437100
9173163744273
1057024593472
1122202995100
12b075507540
1354ba1a6b02
142a8d64d560
15173b41ac9c
hexd46ee3e40

57024593472 has 336 divisors, whose sum is σ = 191330437760. Its totient is φ = 14671134720.

The previous prime is 57024593459. The next prime is 57024593489. The reversal of 57024593472 is 27439542075.

57024593472 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 17724408 + ... + 17727624.

Almost surely, 257024593472 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 57024593472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95665218880).

57024593472 is an abundant number, since it is smaller than the sum of its proper divisors (134305844288).

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

57024593472 is a wasteful number, since it uses less digits than its factorization.

57024593472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 57024593472 in words is "fifty-seven billion, twenty-four million, five hundred ninety-three thousand, four hundred seventy-two".