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1427418157968 = 24331119292392281
BaseRepresentation
bin10100110001011000110…
…000001001001110010000
312001110102020002112102000
4110301120300021032100
5141341323022023333
63011425152554000
7205061516102445
oct24613060111620
95043366075360
101427418157968
11500401379180
121b0787552900
13a47b3115b9a
144d131bbb9cc
15271e5293713
hex14c58c09390

1427418157968 has 640 divisors, whose sum is σ = 4889687040000. Its totient is φ = 393826406400.

The previous prime is 1427418157967. The next prime is 1427418158087. The reversal of 1427418157968 is 8697518147241.

1427418157968 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 418 + 157 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (1427418157967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 625784988 + ... + 625787268.

It is an arithmetic number, because the mean of its divisors is an integer number (7640136000).

Almost surely, 21427418157968 is an apocalyptic number.

1427418157968 is a gapful number since it is divisible by the number (18) 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 1427418157968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444843520000).

1427418157968 is an abundant number, since it is smaller than the sum of its proper divisors (3462268882032).

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

1427418157968 is a wasteful number, since it uses less digits than its factorization.

1427418157968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2584 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The spelling of 1427418157968 in words is "one trillion, four hundred twenty-seven billion, four hundred eighteen million, one hundred fifty-seven thousand, nine hundred sixty-eight".