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8066796240 = 2435375989173
BaseRepresentation
bin1111000001101000…
…11000101011010000
3202211012002201010010
413200310120223100
5113010044434430
63412243234520
7403621431246
oct74064305320
922735081103
108066796240
11346a550458
121691678a40
139b732c619
145674d4796
153232e1cb0
hex1e0d18ad0

8066796240 has 320 divisors, whose sum is σ = 26564371200. Its totient is φ = 2022653952.

The previous prime is 8066796229. The next prime is 8066796247. The reversal of 8066796240 is 426976608.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8066796240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066796247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46628794 + ... + 46628966.

It is an arithmetic number, because the mean of its divisors is an integer number (83013660).

Almost surely, 28066796240 is an apocalyptic number.

8066796240 is a gapful number since it is divisible by the number (80) 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 8066796240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282185600).

8066796240 is an abundant number, since it is smaller than the sum of its proper divisors (18497574960).

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

8066796240 is a wasteful number, since it uses less digits than its factorization.

8066796240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 8066796240 is about 89815.3452367690. The cubic root of 8066796240 is about 2005.5509326533.

The spelling of 8066796240 in words is "eight billion, sixty-six million, seven hundred ninety-six thousand, two hundred forty".