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5434805376 = 2733711131571
BaseRepresentation
bin1010000111111000…
…01000110010000000
3112000202112201102000
411003330020302000
542112302233001
62255142424000
7251452040430
oct50374106200
915022481360
105434805376
1123398957a0
121078132000
13687c68490
14397b262c0
1521c1e2a86
hex143f08c80

5434805376 has 512 divisors, whose sum is σ = 21550233600. Its totient is φ = 1302220800.

The previous prime is 5434805357. The next prime is 5434805417. The reversal of 5434805376 is 6735084345.

5434805376 is a `hidden beast` number, since 5 + 4 + 34 + 80 + 537 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3458671 + ... + 3460241.

It is an arithmetic number, because the mean of its divisors is an integer number (42090300).

Almost surely, 25434805376 is an apocalyptic number.

5434805376 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 5434805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775116800).

5434805376 is an abundant number, since it is smaller than the sum of its proper divisors (16115428224).

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

5434805376 is a wasteful number, since it uses less digits than its factorization.

5434805376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 5434805376 is about 73721.1324926578. The cubic root of 5434805376 is about 1758.1718896798.

The spelling of 5434805376 in words is "five billion, four hundred thirty-four million, eight hundred five thousand, three hundred seventy-six".