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13627760644 = 22583692
BaseRepresentation
bin11001011000100011…
…10010000000000100
31022011202000222011201
430230101302000010
5210402201320034
610132134112244
7661465024411
oct145421620004
938152028151
1013627760644
115863574303
122783aab684
13139246a1c4
14933c9b108
1554b605014
hex32c472004

13627760644 has 9 divisors (see below), whose sum is σ = 23848989717. Its totient is φ = 6813763584.

The previous prime is 13627760633. The next prime is 13627760701. The reversal of 13627760644 is 44606772631.

The square root of 13627760644 is 116738.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7355120644 + 6272640000 = 85762^2 + 79200^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13627760594 and 13627760603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 204292 + ... + 262660.

Almost surely, 213627760644 is an apocalyptic number.

13627760644 is the 116738-th square number.

It is an amenable number.

13627760644 is a deficient number, since it is larger than the sum of its proper divisors (10221229073).

13627760644 is an frugal number, since it uses more digits than its factorization.

13627760644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116742 (or 58371 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 13627760644 in words is "thirteen billion, six hundred twenty-seven million, seven hundred sixty thousand, six hundred forty-four".

Divisors: 1 2 4 58369 116738 233476 3406940161 6813880322 13627760644