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8099142480 = 24335111322017
BaseRepresentation
bin1111000101011111…
…10001101101010000
3202220102222001211000
413202233301231100
5113041340024410
63415400422000
7404463401202
oct74257615520
922812861730
108099142480
113486833690
1216a0477900
139c0c46500
1456b914772
15326080dc0
hex1e2bf1b50

8099142480 has 480 divisors, whose sum is σ = 32970568320. Its totient is φ = 1811496960.

The previous prime is 8099142473. The next prime is 8099142487. The reversal of 8099142480 is 842419908.

8099142480 is a `hidden beast` number, since 80 + 9 + 91 + 4 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (8099142473) and next prime (8099142487).

It is a super-2 number, since 2×80991424802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8099142487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4014432 + ... + 4016448.

It is an arithmetic number, because the mean of its divisors is an integer number (68688684).

Almost surely, 28099142480 is an apocalyptic number.

8099142480 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 8099142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16485284160).

8099142480 is an abundant number, since it is smaller than the sum of its proper divisors (24871425840).

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

8099142480 is a wasteful number, since it uses less digits than its factorization.

8099142480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8099142480 is about 89995.2358739061. The cubic root of 8099142480 is about 2008.2279771104.

The spelling of 8099142480 in words is "eight billion, ninety-nine million, one hundred forty-two thousand, four hundred eighty".