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2045067136 = 2772326063
BaseRepresentation
bin111100111100101…
…0011111110000000
312021112011011201021
41321321103332000
513142014122021
6534532515224
7101451532600
oct17171237600
95245134637
102045067136
1195a429232
12490a7bb14
132678c63c8
1415586ac00
15be815c41
hex79e53f80

2045067136 has 48 divisors (see below), whose sum is σ = 4739340240. Its totient is φ = 876454656.

The previous prime is 2045067133. The next prime is 2045067203. The reversal of 2045067136 is 6317605402.

It is a happy number.

It is a super-4 number, since 4×20450671364 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045067131) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 156760 + ... + 169303.

It is an arithmetic number, because the mean of its divisors is an integer number (98736255).

Almost surely, 22045067136 is an apocalyptic number.

It is an amenable number.

2045067136 is an abundant number, since it is smaller than the sum of its proper divisors (2694273104).

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

2045067136 is an equidigital number, since it uses as much as digits as its factorization.

2045067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326091 (or 326072 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2045067136 is about 45222.4185111765. The cubic root of 2045067136 is about 1269.3143499660.

The spelling of 2045067136 in words is "two billion, forty-five million, sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 326063 652126 1304252 2282441 2608504 4564882 5217008 9129764 10434016 15977087 18259528 20868032 31954174 36519056 41736064 63908348 73038112 127816696 146076224 255633392 292152448 511266784 1022533568 2045067136