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2682470401 = 131753117709
BaseRepresentation
bin1001111111100011…
…0100000000000001
320220221112121121121
42133320310000001
520443203023101
61122102352241
7123321423262
oct23770640001
96827477547
102682470401
111157203796
1262a42b681
133399898c0
141b638c969
1510a7710a1
hex9fe34001

2682470401 has 8 divisors (see below), whose sum is σ = 2890486760. Its totient is φ = 2474692992.

The previous prime is 2682470389. The next prime is 2682470471. The reversal of 2682470401 is 1040742862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68807025 + 2613663376 = 8295^2 + 51124^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2682470401 - 217 = 2682339329 is a prime.

It is a super-3 number, since 3×26824704013 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2682470471) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36066 + ... + 81643.

It is an arithmetic number, because the mean of its divisors is an integer number (361310845).

Almost surely, 22682470401 is an apocalyptic number.

It is an amenable number.

2682470401 is a deficient number, since it is larger than the sum of its proper divisors (208016359).

2682470401 is a wasteful number, since it uses less digits than its factorization.

2682470401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119475.

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2682470401 is about 51792.5709054880. The cubic root of 2682470401 is about 1389.4565791511.

The spelling of 2682470401 in words is "two billion, six hundred eighty-two million, four hundred seventy thousand, four hundred one".

Divisors: 1 13 1753 22789 117709 1530217 206343877 2682470401