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11044374672 = 2434116973307
BaseRepresentation
bin10100100100100101…
…11100100010010000
31001111200221100211210
422102102330202100
5140104324442142
65023531140120
7540455431032
oct122222744220
931450840753
1011044374672
114758297181
1221828a4640
131070193456
1476ab41c52
1544990749c
hex2924bc890

11044374672 has 80 divisors (see below), whose sum is σ = 29253252672. Its totient is φ = 3588464640.

The previous prime is 11044374667. The next prime is 11044374673. The reversal of 11044374672 is 27647344011.

It is a self number, because there is not a number n which added to its sum of digits gives 11044374672.

It is not an unprimeable number, because it can be changed into a prime (11044374673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3338043 + ... + 3341349.

Almost surely, 211044374672 is an apocalyptic number.

11044374672 is a gapful number since it is divisible by the number (12) 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 11044374672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14626626336).

11044374672 is an abundant number, since it is smaller than the sum of its proper divisors (18208878000).

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

11044374672 is a wasteful number, since it uses less digits than its factorization.

11044374672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 11044374672 in words is "eleven billion, forty-four million, three hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1697 1968 3307 3394 5091 6614 6788 9921 10182 13228 13576 19842 20364 26456 27152 39684 40728 52912 69577 79368 81456 135587 139154 158736 208731 271174 278308 406761 417462 542348 556616 813522 834924 1084696 1113232 1627044 1669848 2169392 3254088 3339696 5611979 6508176 11223958 16835937 22447916 33671874 44895832 67343748 89791664 134687496 230091139 269374992 460182278 690273417 920364556 1380546834 1840729112 2761093668 3681458224 5522187336 11044374672