Search a number
-
+
57698082763776 = 21033713471014831
BaseRepresentation
bin11010001111001111000011…
…01110100011010000000000
321120021212211120222221121000
431013213201232203100000
530030311133141420101
6322414044443132000
715103356164320020
oct1507474156432000
9246255746887530
1057698082763776
111742568a597084
12657a337214000
132626ba122b520
141036860271a80
156a0cd5e51486
hex3479e1ba3400

57698082763776 has 1408 divisors, whose sum is σ = 216952266424320. Its totient is φ = 14742798336000.

The previous prime is 57698082763631. The next prime is 57698082763813. The reversal of 57698082763776 is 67736728089675.

57698082763776 is a `hidden beast` number, since 576 + 9 + 8 + 0 + 8 + 2 + 7 + 6 + 37 + 7 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57698082763695 and 57698082763704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11943297681 + ... + 11943302511.

Almost surely, 257698082763776 is an apocalyptic number.

57698082763776 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 57698082763776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108476133212160).

57698082763776 is an abundant number, since it is smaller than the sum of its proper divisors (159254183660544).

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

57698082763776 is a wasteful number, since it uses less digits than its factorization.

57698082763776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 8961684480, while the sum is 81.

The spelling of 57698082763776 in words is "fifty-seven trillion, six hundred ninety-eight billion, eighty-two million, seven hundred sixty-three thousand, seven hundred seventy-six".