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8245934801 = 134131214957
BaseRepresentation
bin1111010110111111…
…01111101011010001
3210021200011220000122
413223133233223101
5113341424403201
63442123000025
7411225201146
oct75337575321
923250156018
108245934801
113551684955
121721669015
13a15491380
145832063cd
15333dc9e1b
hex1eb7efad1

8245934801 has 16 divisors (see below), whose sum is σ = 9101579088. Its totient is φ = 7422105600.

The previous prime is 8245934783. The next prime is 8245934863. The reversal of 8245934801 is 1084395428.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3138688576 + 5107246225 = 56024^2 + 71465^2 .

It is a de Polignac number, because none of the positive numbers 2k-8245934801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8245934891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1661015 + ... + 1665971.

It is an arithmetic number, because the mean of its divisors is an integer number (568848693).

Almost surely, 28245934801 is an apocalyptic number.

It is an amenable number.

8245934801 is a deficient number, since it is larger than the sum of its proper divisors (855644287).

8245934801 is a wasteful number, since it uses less digits than its factorization.

8245934801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132.

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 8245934801 is about 90807.1296815399. The cubic root of 8245934801 is about 2020.2880680079.

The spelling of 8245934801 in words is "eight billion, two hundred forty-five million, nine hundred thirty-four thousand, eight hundred one".

Divisors: 1 13 41 533 3121 4957 40573 64441 127961 203237 1663493 2642081 15470797 201120361 634302677 8245934801