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422443619926272 = 283272967109123677
BaseRepresentation
bin110000000001101011101000…
…1111001110100000100000000
32001101202012211012201200120100
41200003113101321310010000
5420332304013200120042
64054243530404442400
7154660354466430120
oct14003272171640400
92041665735650510
10422443619926272
1111267037340305a
123b4684a16a9400
1315194354722539
147646547780c80
1533c8adc06d24c
hex18035d1e74100

422443619926272 has 864 divisors, whose sum is σ = 1474923671020800. Its totient is φ = 113742723612672.

The previous prime is 422443619926261. The next prime is 422443619926309. The reversal of 422443619926272 is 272629916344224.

422443619926272 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 4 + 3 + 619 + 9 + 2 + 6 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×4224436199262722 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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, 3415638898 + ... + 3415762574.

It is an arithmetic number, because the mean of its divisors is an integer number (1707087582200).

Almost surely, 2422443619926272 is an apocalyptic number.

422443619926272 is a gapful number since it is divisible by the number (42) 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 422443619926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737461835510400).

422443619926272 is an abundant number, since it is smaller than the sum of its proper divisors (1052480051094528).

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

422443619926272 is a wasteful number, since it uses less digits than its factorization.

422443619926272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123911 (or 123894 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 422443619926272 in words is "four hundred twenty-two trillion, four hundred forty-three billion, six hundred nineteen million, nine hundred twenty-six thousand, two hundred seventy-two".