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11876121744 = 2431077513079
BaseRepresentation
bin10110000111101111…
…10011110010010000
31010122200000111022220
423003313303302100
5143310241343434
65242242301040
7600205240434
oct130367636220
933580014286
1011876121744
115044841053
122375357780
1311735b0596
148093b29c4
15497950d49
hex2c3df3c90

11876121744 has 80 divisors (see below), whose sum is σ = 31018014720. Its totient is φ = 3915216000.

The previous prime is 11876121743. The next prime is 11876121811. The reversal of 11876121744 is 44712167811.

It is a junction number, because it is equal to n+sod(n) for n = 11876121696 and 11876121705.

It is not an unprimeable number, because it can be changed into a prime (11876121743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3855597 + ... + 3858675.

It is an arithmetic number, because the mean of its divisors is an integer number (387725184).

Almost surely, 211876121744 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 11876121744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509007360).

11876121744 is an abundant number, since it is smaller than the sum of its proper divisors (19141892976).

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

11876121744 is a wasteful number, since it uses less digits than its factorization.

11876121744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3942 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The spelling of 11876121744 in words is "eleven billion, eight hundred seventy-six million, one hundred twenty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 751 856 1284 1502 1712 2253 2568 3004 3079 4506 5136 6008 6158 9012 9237 12016 12316 18024 18474 24632 36048 36948 49264 73896 80357 147792 160714 241071 321428 329453 482142 642856 658906 964284 988359 1285712 1317812 1928568 1976718 2312329 2635624 3857136 3953436 4624658 5271248 6936987 7906872 9249316 13873974 15813744 18498632 27747948 36997264 55495896 110991792 247419203 494838406 742257609 989676812 1484515218 1979353624 2969030436 3958707248 5938060872 11876121744