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428715316332 = 223271167728997
BaseRepresentation
bin1100011110100010110…
…11001001010001101100
31111222120220111120200100
412033101123021101230
524011002110110312
6524541001031100
742654652030302
oct6172133112154
91458526446610
10428715316332
111558a968a596
126b107a85490
13315737cba94
1416a6db56272
15b24285a5dc
hex63d16c946c

428715316332 has 36 divisors (see below), whose sum is σ = 1098960394896. Its totient is φ = 140892356640.

The previous prime is 428715316331. The next prime is 428715316333. The reversal of 428715316332 is 233613517824.

428715316332 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 1 + 5 + 3 + 1 + 633 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (428715316331) and next prime (428715316333).

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (428715316331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83861943 + ... + 83867054.

It is an arithmetic number, because the mean of its divisors is an integer number (30526677636).

Almost surely, 2428715316332 is an apocalyptic number.

It is an amenable number.

428715316332 is an abundant number, since it is smaller than the sum of its proper divisors (670245078564).

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

428715316332 is a wasteful number, since it uses less digits than its factorization.

428715316332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167729078 (or 167729073 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 428715316332 in words is "four hundred twenty-eight billion, seven hundred fifteen million, three hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 167728997 335457994 503186991 670915988 1006373982 1509560973 2012747964 3019121946 6038243892 11908758787 23817517574 35726276361 47635035148 71452552722 107178829083 142905105444 214357658166 428715316332