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5096002464 = 253371961727
BaseRepresentation
bin1001011111011111…
…01101001110100000
3111011011000202012000
410233233231032200
540414034034324
62201401004000
7240166210020
oct45757551640
914134022160
105096002464
112185619093
12ba2783600
13632a02997
14364b31a80
151ec5bb9c9
hex12fbed3a0

5096002464 has 384 divisors, whose sum is σ = 18198835200. Its totient is φ = 1354890240.

The previous prime is 5096002451. The next prime is 5096002477. The reversal of 5096002464 is 4642006905.

5096002464 is a `hidden beast` number, since 5 + 0 + 9 + 600 + 2 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5096002451) and next prime (5096002477).

It is a super-2 number, since 2×50960024642 = 51938482226188142592, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7009269 + ... + 7009995.

It is an arithmetic number, because the mean of its divisors is an integer number (47392800).

Almost surely, 25096002464 is an apocalyptic number.

5096002464 is a gapful number since it is divisible by the number (54) 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 5096002464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

5096002464 is an abundant number, since it is smaller than the sum of its proper divisors (13102832736).

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

5096002464 is a wasteful number, since it uses less digits than its factorization.

5096002464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5096002464 is about 71386.2904485168. The cubic root of 5096002464 is about 1720.8507671435.

The spelling of 5096002464 in words is "five billion, ninety-six million, two thousand, four hundred sixty-four".