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11908607136 = 2534316571741
BaseRepresentation
bin10110001011100111…
…01110110010100000
31010201221010220220120
423011303232302200
5143342100412021
65245402440240
7601051330146
oct130563566240
933657126816
1011908607136
115061109888
122384203080
13117a2458ca
1480d82b596
1549a71b2c6
hex2c5ceeca0

11908607136 has 96 divisors (see below), whose sum is σ = 32024760768. Its totient is φ = 3872655360.

The previous prime is 11908607119. The next prime is 11908607173. The reversal of 11908607136 is 63170680911.

11908607136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6839226 + ... + 6840966.

It is an arithmetic number, because the mean of its divisors is an integer number (333591258).

Almost surely, 211908607136 is an apocalyptic number.

11908607136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11908607136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16012380384).

11908607136 is an abundant number, since it is smaller than the sum of its proper divisors (20116153632).

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

11908607136 is a wasteful number, since it uses less digits than its factorization.

11908607136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 11908607136 in words is "eleven billion, nine hundred eight million, six hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 1657 1741 2064 3314 3482 4128 4971 5223 6628 6964 9942 10446 13256 13928 19884 20892 26512 27856 39768 41784 53024 55712 71251 74863 79536 83568 142502 149726 159072 167136 213753 224589 285004 299452 427506 449178 570008 598904 855012 898356 1140016 1197808 1710024 1796712 2280032 2395616 2884837 3420048 3593424 5769674 6840096 7186848 8654511 11539348 17309022 23078696 34618044 46157392 69236088 92314784 124047991 138472176 248095982 276944352 372143973 496191964 744287946 992383928 1488575892 1984767856 2977151784 3969535712 5954303568 11908607136