Search a number
-
+
896977089792 = 283872331107
BaseRepresentation
bin11010000110110000000…
…00000011010100000000
310011202020212122100000000
431003120000003110000
5104144002113333132
61524022100000000
7121542633315150
oct15033000032400
93152225570000
10896977089792
113164512016a3
12125a0b990000
136677a412944
14315b1b38760
15184ebe5e87c
hexd0d8003500

896977089792 has 1296 divisors, whose sum is σ = 3336837783552. Its totient is φ = 235011870720.

The previous prime is 896977089751. The next prime is 896977089829. The reversal of 896977089792 is 297980779698.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×8969770897922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8382963403 + ... + 8382963509.

It is an arithmetic number, because the mean of its divisors is an integer number (2574720512).

Almost surely, 2896977089792 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 896977089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668418891776).

896977089792 is an abundant number, since it is smaller than the sum of its proper divisors (2439860693760).

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

896977089792 is an equidigital number, since it uses as much as digits as its factorization.

896977089792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 81.

The spelling of 896977089792 in words is "eight hundred ninety-six billion, nine hundred seventy-seven million, eighty-nine thousand, seven hundred ninety-two".