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2168362944 = 2632112911801
BaseRepresentation
bin1000000100111110…
…1001011111000000
312121010011020202200
42001033221133000
513420100103234
6555055313200
7104506531566
oct20117513700
95533136680
102168362944
11a12a911a0
1250621b800
132873054c7
14167da3a36
15ca56cd99
hex813e97c0

2168362944 has 168 divisors, whose sum is σ = 7014636720. Its totient is φ = 634368000.

The previous prime is 2168362939. The next prime is 2168362951. The reversal of 2168362944 is 4492638612.

2168362944 is a `hidden beast` number, since 2 + 16 + 8 + 3 + 629 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2168362944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177844 + ... + 189644.

It is an arithmetic number, because the mean of its divisors is an integer number (41753790).

Almost surely, 22168362944 is an apocalyptic number.

2168362944 is a gapful number since it is divisible by the number (24) 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 2168362944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507318360).

2168362944 is an abundant number, since it is smaller than the sum of its proper divisors (4846273776).

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

2168362944 is a wasteful number, since it uses less digits than its factorization.

2168362944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11859 (or 11846 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2168362944 is about 46565.6841891108. The cubic root of 2168362944 is about 1294.3269449149.

The spelling of 2168362944 in words is "two billion, one hundred sixty-eight million, three hundred sixty-two thousand, nine hundred forty-four".