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11378895876 = 223599111813
BaseRepresentation
bin10101001100011110…
…00010110000000100
31002101000101210200000
422212033002300010
5141300444132001
65121041121300
7551660006355
oct124617026004
932330353600
1011378895876
11490a0a9987
122256929230
1310c458a0aa
1479d33dd2c
15468e84a86
hex2a63c2c04

11378895876 has 72 divisors (see below), whose sum is σ = 29861255424. Its totient is φ = 3788817120.

The previous prime is 11378895859. The next prime is 11378895881. The reversal of 11378895876 is 67859887311.

11378895876 is a `hidden beast` number, since 11 + 37 + 8 + 8 + 9 + 587 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 957346 + ... + 969158.

Almost surely, 211378895876 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 11378895876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14930627712).

11378895876 is an abundant number, since it is smaller than the sum of its proper divisors (18482359548).

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

11378895876 is a wasteful number, since it uses less digits than its factorization.

11378895876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12823 (or 12809 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 11378895876 in words is "eleven billion, three hundred seventy-eight million, eight hundred ninety-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 991 1982 2973 3964 5946 8919 11813 11892 17838 23626 26757 35439 35676 47252 53514 70878 80271 106317 107028 141756 160542 212634 240813 318951 321084 425268 481626 637902 956853 963252 1275804 1913706 2870559 3827412 5741118 11482236 11706683 23413366 35120049 46826732 70240098 105360147 140480196 210720294 316080441 421440588 632160882 948241323 1264321764 1896482646 2844723969 3792965292 5689447938 11378895876