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5410023696 = 2435711171063
BaseRepresentation
bin1010000100111011…
…00110100100010000
3111222000220200100000
411002131212210100
542034431224241
62252455330000
7251031304560
oct50235464420
914860820300
105410023696
1123268a9970
12106b980900
13682a9c76c
14394714da0
15219e49eb6
hex142766910

5410023696 has 480 divisors, whose sum is σ = 20746672128. Its totient is φ = 1321297920.

The previous prime is 5410023623. The next prime is 5410023719. The reversal of 5410023696 is 6963200145.

It is a happy number.

5410023696 is a `hidden beast` number, since 5 + 410 + 0 + 236 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5410023696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5088861 + ... + 5089923.

Almost surely, 25410023696 is an apocalyptic number.

5410023696 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 5410023696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064).

5410023696 is an abundant number, since it is smaller than the sum of its proper divisors (15336648432).

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

5410023696 is a wasteful number, since it uses less digits than its factorization.

5410023696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5410023696 is about 73552.8632753342. The cubic root of 5410023696 is about 1755.4955076852.

The spelling of 5410023696 in words is "five billion, four hundred ten million, twenty-three thousand, six hundred ninety-six".