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11243145816 = 2333710217283
BaseRepresentation
bin10100111100010010…
…01100101001011000
31002000112221222121000
422132021030221120
5141011221131231
65055351345000
7545421106530
oct123611145130
932015858530
1011243145816
11484a50a951
122219382160
1310a240a306
147892c44c0
1545c0bc6e6
hex29e24ca58

11243145816 has 128 divisors (see below), whose sum is σ = 35732390400. Its totient is φ = 3208740480.

The previous prime is 11243145811. The next prime is 11243145839. The reversal of 11243145816 is 61854134211.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11243145811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1540111 + ... + 1547393.

It is an arithmetic number, because the mean of its divisors is an integer number (279159300).

Almost surely, 211243145816 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 11243145816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866195200).

11243145816 is an abundant number, since it is smaller than the sum of its proper divisors (24489244584).

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

11243145816 is a wasteful number, since it uses less digits than its factorization.

11243145816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8326 (or 8316 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 11243145816 in words is "eleven billion, two hundred forty-three million, one hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1021 1512 2042 3063 4084 6126 7147 7283 8168 9189 12252 14294 14566 18378 21441 21849 24504 27567 28588 29132 36756 42882 43698 50981 55134 57176 58264 64323 65547 73512 85764 87396 101962 110268 128646 131094 152943 171528 174792 192969 196641 203924 220536 257292 262188 305886 385938 393282 407848 458829 514584 524376 611772 771876 786564 917658 1223544 1376487 1543752 1573128 1835316 2752974 3670632 5505948 7435943 11011896 14871886 22307829 29743772 44615658 52051601 59487544 66923487 89231316 104103202 133846974 156154803 178462632 200770461 208206404 267693948 312309606 401540922 416412808 468464409 535387896 624619212 803081844 936928818 1249238424 1405393227 1606163688 1873857636 2810786454 3747715272 5621572908 11243145816