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11949352908 = 22329378831051
BaseRepresentation
bin10110010000011110…
…01010011111001100
31010211202211000121020
423020033022133030
5143433013243113
65253420034140
7602054552403
oct131017123714
933752730536
1011949352908
115082109779
122395992950
131185810a2c
14814dd663a
1549e0b9023
hex2c83ca7cc

11949352908 has 96 divisors (see below), whose sum is σ = 29684578560. Its totient is φ = 3734035200.

The previous prime is 11949352859. The next prime is 11949352931. The reversal of 11949352908 is 80925394911.

11949352908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 11368983 + ... + 11370033.

It is an arithmetic number, because the mean of its divisors is an integer number (309214360).

Almost surely, 211949352908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11949352908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842289280).

11949352908 is an abundant number, since it is smaller than the sum of its proper divisors (17735225652).

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

11949352908 is a wasteful number, since it uses less digits than its factorization.

11949352908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 11949352908 in words is "eleven billion, nine hundred forty-nine million, three hundred fifty-two thousand, nine hundred eight".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 883 1051 1073 1766 2102 2146 2649 3153 3219 3532 4204 4292 5298 6306 6438 10596 12612 12876 25607 30479 32671 38887 51214 60958 65342 76821 77774 91437 98013 102428 116661 121916 130684 153642 155548 182874 196026 233322 307284 365748 392052 466644 928033 947459 1127723 1856066 1894918 2255446 2784099 2842377 3383169 3712132 3789836 4510892 5568198 5684754 6766338 11136396 11369508 13532676 26912957 34337221 53825914 68674442 80738871 103011663 107651828 137348884 161477742 206023326 322955484 412046652 995779409 1991558818 2987338227 3983117636 5974676454 11949352908