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11444570112 = 21136173019
BaseRepresentation
bin10101010100010011…
…00100100000000000
31002112120222101210010
422222021210200000
5141414302220422
65131344504520
7553415145423
oct125211444000
932476871703
1011444570112
114943185a08
12227491b140
1311050729a1
147a7d579ba
1546eb08b0c
hex2aa264800

11444570112 has 96 divisors (see below), whose sum is σ = 30570976800. Its totient is φ = 3807412224.

The previous prime is 11444570101. The next prime is 11444570113. The reversal of 11444570112 is 21107544411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11444570112.

It is not an unprimeable number, because it can be changed into a prime (11444570113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3789339 + ... + 3792357.

It is an arithmetic number, because the mean of its divisors is an integer number (318447675).

Almost surely, 211444570112 is an apocalyptic number.

11444570112 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 11444570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285488400).

11444570112 is an abundant number, since it is smaller than the sum of its proper divisors (19126406688).

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

11444570112 is an equidigital number, since it uses as much as digits as its factorization.

11444570112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 11444570112 in words is "eleven billion, four hundred forty-four million, five hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 617 768 1024 1234 1536 1851 2048 2468 3019 3072 3702 4936 6038 6144 7404 9057 9872 12076 14808 18114 19744 24152 29616 36228 39488 48304 59232 72456 78976 96608 118464 144912 157952 193216 236928 289824 315904 386432 473856 579648 631808 772864 947712 1159296 1263616 1545728 1862723 1895424 2318592 3091456 3725446 3790848 4637184 5588169 6182912 7450892 9274368 11176338 14901784 18548736 22352676 29803568 44705352 59607136 89410704 119214272 178821408 238428544 357642816 476857088 715285632 953714176 1430571264 1907428352 2861142528 3814856704 5722285056 11444570112