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5981332896 = 2534711231303
BaseRepresentation
bin1011001001000001…
…11110010110100000
3120102211221012020000
411210200332112200
544222210123041
62425304420000
7301136330220
oct54440762640
916384835200
105981332896
11259a340a30
1211ab177600
13744261246
1440a550080
1525019bbb6
hex16483e5a0

5981332896 has 480 divisors, whose sum is σ = 22902663168. Its totient is φ = 1484904960.

The previous prime is 5981332871. The next prime is 5981332897. The reversal of 5981332896 is 6982331895.

5981332896 is a `hidden beast` number, since 598 + 13 + 32 + 8 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5981332897) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4589781 + ... + 4591083.

Almost surely, 25981332896 is an apocalyptic number.

5981332896 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 5981332896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11451331584).

5981332896 is an abundant number, since it is smaller than the sum of its proper divisors (16921330272).

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

5981332896 is a wasteful number, since it uses less digits than its factorization.

5981332896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1349 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 5981332896 is about 77339.0774188573. The cubic root of 5981332896 is about 1815.2341696361.

The spelling of 5981332896 in words is "five billion, nine hundred eighty-one million, three hundred thirty-two thousand, eight hundred ninety-six".