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4318422428880 = 243357311991571
BaseRepresentation
bin111110110101110110000…
…010001110110011010000
3120021211121021200002012000
4332311312002032303100
51031223112120211010
613103504511434000
7623665350665610
oct76656602166320
916254537602160
104318422428880
1114154839753aa
12598b32b25900
132542c1520021
1410d027030a40
15774eab667c0
hex3ed7608ecd0

4318422428880 has 320 divisors, whose sum is σ = 17005140172800. Its totient is φ = 986740738560.

The previous prime is 4318422428819. The next prime is 4318422428909. The reversal of 4318422428880 is 888242248134.

It is a happy number.

4318422428880 is a `hidden beast` number, since 4 + 318 + 4 + 2 + 242 + 8 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47113495 + ... + 47205065.

It is an arithmetic number, because the mean of its divisors is an integer number (53141063040).

Almost surely, 24318422428880 is an apocalyptic number.

4318422428880 is a gapful number since it is divisible by the number (40) 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 4318422428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502570086400).

4318422428880 is an abundant number, since it is smaller than the sum of its proper divisors (12686717743920).

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

4318422428880 is a wasteful number, since it uses less digits than its factorization.

4318422428880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94719 (or 94707 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 4318422428880 in words is "four trillion, three hundred eighteen billion, four hundred twenty-two million, four hundred twenty-eight thousand, eight hundred eighty".