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11379276216 = 23327117128909
BaseRepresentation
bin10101001100100000…
…11111100110111000
31002101001010010101200
422212100133212320
5141301043314331
65121053214200
7551663152260
oct124620374670
932331103350
1011379276216
11490a339710
122256a91360
1310c4691249
1479d3dc7a0
1546900c5e6
hex2a641f9b8

11379276216 has 192 divisors, whose sum is σ = 38966054400. Its totient is φ = 2913926400.

The previous prime is 11379276211. The next prime is 11379276217. The reversal of 11379276216 is 61267297311.

11379276216 is a `hidden beast` number, since 1 + 1 + 379 + 276 + 2 + 1 + 6 = 666.

11379276216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379276211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 379170 + ... + 408078.

It is an arithmetic number, because the mean of its divisors is an integer number (202948200).

Almost surely, 211379276216 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 11379276216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483027200).

11379276216 is an abundant number, since it is smaller than the sum of its proper divisors (27586778184).

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

11379276216 is a wasteful number, since it uses less digits than its factorization.

11379276216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29010 (or 29003 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 11379276216 in words is "eleven billion, three hundred seventy-nine million, two hundred seventy-six thousand, two hundred sixteen".