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428215996998 = 2321723293167679
BaseRepresentation
bin1100011101100111010…
…10011001001001000110
31111221022002221112022200
412032303222121021012
524003441243400443
6524415242535330
742636406626636
oct6166352311106
91457262845280
10428215996998
11155672848589
126aba8807546
13314c422475a
1416a236da6c6
15b213ac8dd3
hex63b3a99246

428215996998 has 192 divisors, whose sum is σ = 1094661734400. Its totient is φ = 120066186240.

The previous prime is 428215996993. The next prime is 428215997003. The reversal of 428215996998 is 899699512824.

428215996998 is a `hidden beast` number, since 4 + 2 + 8 + 21 + 599 + 6 + 9 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (428215996993) and next prime (428215997003).

It is a super-2 number, since 2×4282159969982 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428215996993) 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 95 ways as a sum of consecutive naturals, for example, 6293323 + ... + 6361001.

It is an arithmetic number, because the mean of its divisors is an integer number (5701363200).

Almost surely, 2428215996998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428215996998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547330867200).

428215996998 is an abundant number, since it is smaller than the sum of its proper divisors (666445737402).

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

428215996998 is a wasteful number, since it uses less digits than its factorization.

428215996998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67787 (or 67784 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 428215996998 in words is "four hundred twenty-eight billion, two hundred fifteen million, nine hundred ninety-six thousand, nine hundred ninety-eight".