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3727422216405 = 32582831604809
BaseRepresentation
bin110110001111011011101…
…011010101100011010101
3111012100010110111121020200
4312033123223111203111
5442032230041411110
611532204254051113
7533203666035306
oct66173353254325
914170113447220
103727422216405
111207877738438
125024961a9a99
1321065729a1a4
14cc5a01487ad
1566e5ae826c0
hex363dbad58d5

3727422216405 has 12 divisors (see below), whose sum is σ = 6460865175180. Its totient is φ = 1987958515392.

The previous prime is 3727422216391. The next prime is 3727422216451. The reversal of 3727422216405 is 5046122247273.

3727422216405 is a `hidden beast` number, since 3 + 7 + 2 + 7 + 4 + 22 + 216 + 405 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1012698056241 + 2714724160164 = 1006329^2 + 1647642^2 .

It is not a de Polignac number, because 3727422216405 - 216 = 3727422150869 is a prime.

It is a super-2 number, since 2×37274222164052 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 82831604809 = 3727422216405 / (3 + 7 + 2 + 7 + 4 + 2 + 2 + 2 + 1 + 6 + 4 + 0 + 5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41415802360 + ... + 41415802449.

It is an arithmetic number, because the mean of its divisors is an integer number (538405431265).

Almost surely, 23727422216405 is an apocalyptic number.

It is an amenable number.

3727422216405 is a deficient number, since it is larger than the sum of its proper divisors (2733442958775).

3727422216405 is a wasteful number, since it uses less digits than its factorization.

3727422216405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82831604820 (or 82831604817 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 3727422216405 in words is "three trillion, seven hundred twenty-seven billion, four hundred twenty-two million, two hundred sixteen thousand, four hundred five".

Divisors: 1 3 5 9 15 45 82831604809 248494814427 414158024045 745484443281 1242474072135 3727422216405