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422259941376 = 21337721337
BaseRepresentation
bin1100010010100001010…
…01110110000000000000
31111100221000120120000000
412021100221312000000
523404242021111001
6521552240000000
742335665165200
oct6112051660000
91440830516000
10422259941376
11153096801869
1269a06000000
1330a852a39a0
141661a68a400
15aeb5c71a86
hex6250a76000

422259941376 has 1344 divisors, whose sum is σ = 1629497741760. Its totient is φ = 108355387392.

The previous prime is 422259941351. The next prime is 422259941459. The reversal of 422259941376 is 673149952224.

It is a happy number.

422259941376 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 599 + 41 + 3 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 11412430830 + ... + 11412430866.

It is an arithmetic number, because the mean of its divisors is an integer number (1212423915).

Almost surely, 2422259941376 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 422259941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814748870880).

422259941376 is an abundant number, since it is smaller than the sum of its proper divisors (1207237800384).

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

422259941376 is an frugal number, since it uses more digits than its factorization.

422259941376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 62 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 422259941376 in words is "four hundred twenty-two billion, two hundred fifty-nine million, nine hundred forty-one thousand, three hundred seventy-six".