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8421917680 = 245119570361
BaseRepresentation
bin1111101011111110…
…00100001111110000
3210201221022202011001
413311333010033300
5114222002331210
63511410531344
7415463055601
oct76577041760
923657282131
108421917680
113631a53450
121770596b54
13a42a89957
1459c735da8
1534458d03a
hex1f5fc43f0

8421917680 has 40 divisors (see below), whose sum is σ = 21361047984. Its totient is φ = 3062515200.

The previous prime is 8421917641. The next prime is 8421917701. The reversal of 8421917680 is 867191248.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8421917680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4784301 + ... + 4786060.

Almost surely, 28421917680 is an apocalyptic number.

8421917680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8421917680 is an abundant number, since it is smaller than the sum of its proper divisors (12939130304).

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

8421917680 is a wasteful number, since it uses less digits than its factorization.

8421917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570385 (or 9570379 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 8421917680 is about 91771.0067504983. The cubic root of 8421917680 is about 2034.5591979704.

The spelling of 8421917680 in words is "eight billion, four hundred twenty-one million, nine hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 9570361 19140722 38281444 47851805 76562888 95703610 105273971 153125776 191407220 210547942 382814440 421095884 526369855 765628880 842191768 1052739710 1684383536 2105479420 4210958840 8421917680