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20280632607 = 336191913399
BaseRepresentation
bin10010111000110100…
…011110010100011111
31221100101120212211000
4102320310132110133
5313013320220412
613152232201343
71315400350524
oct227064362437
957311525730
1020280632607
1186679854a4
123b1bb39253
131bb2884231
14da569714b
157da7014dc
hex4b8d1e51f

20280632607 has 32 divisors (see below), whose sum is σ = 30573440000. Its totient is φ = 13283313120.

The previous prime is 20280632591. The next prime is 20280632627. The reversal of 20280632607 is 70623608202.

20280632607 is a `hidden beast` number, since 20 + 28 + 0 + 6 + 3 + 2 + 607 = 666.

It is not a de Polignac number, because 20280632607 - 24 = 20280632591 is a prime.

It is a super-2 number, since 2×202806326072 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20280632627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1506894 + ... + 1520292.

It is an arithmetic number, because the mean of its divisors is an integer number (955420000).

Almost surely, 220280632607 is an apocalyptic number.

20280632607 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

20280632607 is a deficient number, since it is larger than the sum of its proper divisors (10292807393).

20280632607 is a wasteful number, since it uses less digits than its factorization.

20280632607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388 (or 14382 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20280632607 in words is "twenty billion, two hundred eighty million, six hundred thirty-two thousand, six hundred seven".

Divisors: 1 3 9 27 61 183 549 919 1647 2757 8271 13399 24813 40197 56059 120591 168177 361773 504531 817339 1513593 2452017 7356051 12313681 22068153 36941043 110823129 332469387 751134541 2253403623 6760210869 20280632607