Search a number
-
+
57381016896 = 26357677867
BaseRepresentation
bin110101011100001011…
…001101010101000000
312111002222111200100000
4311130023031111000
51420004020020041
642205510200000
74100645411310
oct653413152500
9174088450300
1057381016896
11223760a7315
12b154953000
135545c9b948
142ac4b0d440
15175c872bb6
hexd5c2cd540

57381016896 has 336 divisors, whose sum is σ = 197864715776. Its totient is φ = 16147828224.

The previous prime is 57381016859. The next prime is 57381016897. The reversal of 57381016896 is 69861018375.

57381016896 is a `hidden beast` number, since 573 + 8 + 1 + 0 + 1 + 68 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×573810168962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57381016897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7289955 + ... + 7297821.

Almost surely, 257381016896 is an apocalyptic number.

57381016896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57381016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98932357888).

57381016896 is an abundant number, since it is smaller than the sum of its proper divisors (140483698880).

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

57381016896 is an equidigital number, since it uses as much as digits as its factorization.

57381016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 57381016896 in words is "fifty-seven billion, three hundred eighty-one million, sixteen thousand, eight hundred ninety-six".