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422912697480 = 23335713311271093
BaseRepresentation
bin1100010011101111000…
…11111010010010001000
31111102121111212000001000
412021313203322102020
523412111122304410
6522141114455000
742361112421210
oct6116743722210
91442544760030
10422912697480
111533a1213119
1269b68734460
1330b5a5b12c0
141667d247240
15b003210dc0
hex62778fa488

422912697480 has 1024 divisors, whose sum is σ = 1806748876800. Its totient is φ = 85593231360.

The previous prime is 422912697451. The next prime is 422912697497. The reversal of 422912697480 is 84796219224.

It is a happy number.

422912697480 is a `hidden beast` number, since 42 + 29 + 12 + 6 + 97 + 480 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 386927814 + ... + 386928906.

It is an arithmetic number, because the mean of its divisors is an integer number (1764403200).

Almost surely, 2422912697480 is an apocalyptic number.

422912697480 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 422912697480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903374438400).

422912697480 is an abundant number, since it is smaller than the sum of its proper divisors (1383836179320).

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

422912697480 is a wasteful number, since it uses less digits than its factorization.

422912697480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 422912697480 in words is "four hundred twenty-two billion, nine hundred twelve million, six hundred ninety-seven thousand, four hundred eighty".