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7896341376 = 27367211157
BaseRepresentation
bin1110101101010100…
…01001101110000000
3202101022100201000000
413112222021232000
5112132430411001
63343314000000
7366451536300
oct72652115600
922338321000
107896341376
113392308170
121644576000
1398ac1b261
1454ca03600
15313371a86
hex1d6a89b80

7896341376 has 672 divisors, whose sum is σ = 30121287480. Its totient is φ = 2037934080.

The previous prime is 7896341371. The next prime is 7896341377. The reversal of 7896341376 is 6731436987.

7896341376 is a `hidden beast` number, since 78 + 96 + 3 + 413 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7896341371) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 50295090 + ... + 50295246.

Almost surely, 27896341376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7896341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060643740).

7896341376 is an abundant number, since it is smaller than the sum of its proper divisors (22224946104).

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

7896341376 is a wasteful number, since it uses less digits than its factorization.

7896341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7896341376 is about 88861.3604217266. The cubic root of 7896341376 is about 1991.3242010078.

The spelling of 7896341376 in words is "seven billion, eight hundred ninety-six million, three hundred forty-one thousand, three hundred seventy-six".