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11672506644 = 22341174113627
BaseRepresentation
bin10101101111011110…
…00101000100010100
31010010110212202220220
422313233011010110
5142401130203034
65210130154340
7562153445421
oct126757050424
933113782826
1011672506644
114a4a90a007
1223191229b0
13114035b986
147ca32cd48
15484b30749
hex2b7bc5114

11672506644 has 48 divisors (see below), whose sum is σ = 27918211776. Its totient is φ = 3793478400.

The previous prime is 11672506633. The next prime is 11672506667. The reversal of 11672506644 is 44660527611.

11672506644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116725066442 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11672506596 and 11672506605.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 849759 + ... + 863385.

It is an arithmetic number, because the mean of its divisors is an integer number (581629412).

Almost surely, 211672506644 is an apocalyptic number.

It is an amenable number.

11672506644 is an abundant number, since it is smaller than the sum of its proper divisors (16245705132).

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

11672506644 is a wasteful number, since it uses less digits than its factorization.

11672506644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15414 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 11672506644 in words is "eleven billion, six hundred seventy-two million, five hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 1741 3482 5223 6964 10446 13627 20892 27254 40881 54508 71381 81762 142762 163524 214143 285524 428286 558707 856572 1117414 1676121 2234828 3352242 6704484 23724607 47449214 71173821 94898428 142347642 284695284 972708887 1945417774 2918126661 3890835548 5836253322 11672506644