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5345657856 = 2103771131
BaseRepresentation
bin1001111101010000…
…00100010000000000
3111210112210120000000
410332220010100000
541421442022411
62242240000000
7246320225220
oct47650042000
914715716000
105345657856
1122a3536960
121052300000
13672654576
14389d5c080
15214483956
hex13ea04400

5345657856 has 704 divisors, whose sum is σ = 20625899520. Its totient is φ = 1343692800.

The previous prime is 5345657851. The next prime is 5345657881. The reversal of 5345657856 is 6587565435.

It is a happy number.

5345657856 is a `hidden beast` number, since 5 + 3 + 4 + 565 + 78 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (15120000) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (5345657851) 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, 172440561 + ... + 172440591.

Almost surely, 25345657856 is an apocalyptic number.

5345657856 is a gapful number since it is divisible by the number (56) 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 5345657856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10312949760).

5345657856 is an abundant number, since it is smaller than the sum of its proper divisors (15280241664).

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

5345657856 is an equidigital number, since it uses as much as digits as its factorization.

5345657856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The square root of 5345657856 is about 73114.0058812263. The cubic root of 5345657856 is about 1748.5057019289.

The spelling of 5345657856 in words is "five billion, three hundred forty-five million, six hundred fifty-seven thousand, eight hundred fifty-six".