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427750429599792 = 2435132313741109127
BaseRepresentation
bin110000101000010010110100…
…0011010001010100000110000
32002002112112121220101002200000
41201100211220122022200300
5422031230334434143132
64113425500133230000
7156045643255406325
oct14120455032124060
92062475556332600
10427750429599792
11114326a36095372
123bb84a95492300
131548a900370100
14778b334800b4c
15346bb84bbe87c
hex185096868a830

427750429599792 has 2880 divisors, whose sum is σ = 1484908479774720. Its totient is φ = 118852315545600.

The previous prime is 427750429599781. The next prime is 427750429599859. The reversal of 427750429599792 is 297995924057724.

It is a happy number.

427750429599792 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 50 + 429 + 59 + 9 + 7 + 92 = 666.

It is a super-2 number, since 2×4277504295997922 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 575 ways as a sum of consecutive naturals, for example, 3368113618833 + ... + 3368113618959.

It is an arithmetic number, because the mean of its divisors is an integer number (515593222144).

Almost surely, 2427750429599792 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 427750429599792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742454239887360).

427750429599792 is an abundant number, since it is smaller than the sum of its proper divisors (1057158050174928).

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

427750429599792 is a wasteful number, since it uses less digits than its factorization.

427750429599792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 7201353600, while the sum is 81.

The spelling of 427750429599792 in words is "four hundred twenty-seven trillion, seven hundred fifty billion, four hundred twenty-nine million, five hundred ninety-nine thousand, seven hundred ninety-two".