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5405110074 = 2347132947269
BaseRepresentation
bin1010000100010101…
…10110111100111010
3111221200200001010000
411002022312330322
542032202010244
62252202133430
7250641451260
oct50212667472
914850601100
105405110074
112324053221
12106a1b1276
13681a6c0b0
14393bd6430
152197c9169
hex1422b6f3a

5405110074 has 320 divisors, whose sum is σ = 15807052800. Its totient is φ = 1342075392.

The previous prime is 5405110057. The next prime is 5405110127. The reversal of 5405110074 is 4700115045.

It is a happy number.

5405110074 is a `hidden beast` number, since 540 + 5 + 110 + 0 + 7 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20093212 + ... + 20093480.

It is an arithmetic number, because the mean of its divisors is an integer number (49397040).

Almost surely, 25405110074 is an apocalyptic number.

5405110074 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5405110074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903526400).

5405110074 is an abundant number, since it is smaller than the sum of its proper divisors (10401942726).

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

5405110074 is a wasteful number, since it uses less digits than its factorization.

5405110074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5405110074 is about 73519.4537112457. The cubic root of 5405110074 is about 1754.9638739002.

The spelling of 5405110074 in words is "five billion, four hundred five million, one hundred ten thousand, seventy-four".