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426200713075200 = 29352731254320113
BaseRepresentation
bin110000011101000001001011…
…0000110110001101000000000
32001220001101112111022211110210
41200322002112012301220000
5421330333030021401300
64110241523221554120
7155525661661322040
oct14072022606615000
92056041474284423
10426200713075200
11113889786557228
123b974678575940
13153a7729b4a31b
147736320355720
1534416d2cc8050
hex183a0961b1a00

426200713075200 has 960 divisors, whose sum is σ = 1661700830625792. Its totient is φ = 94233054412800.

The previous prime is 426200713075157. The next prime is 426200713075243. The reversal of 426200713075200 is 2570317002624.

It is an interprime number because it is at equal distance from previous prime (426200713075157) and next prime (426200713075243).

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21190300344 + ... + 21190320456.

Almost surely, 2426200713075200 is an apocalyptic number.

426200713075200 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 426200713075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830850415312896).

426200713075200 is an abundant number, since it is smaller than the sum of its proper divisors (1235500117550592).

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

426200713075200 is a wasteful number, since it uses less digits than its factorization.

426200713075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22725 (or 22704 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 426200713075200 in words is "four hundred twenty-six trillion, two hundred billion, seven hundred thirteen million, seventy-five thousand, two hundred".