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11891423232 = 211321349627
BaseRepresentation
bin10110001001100100…
…01011100000000000
31010200201210220000200
423010302023200000
5143323201020412
65243550245200
7600452300253
oct130462134000
933621726020
1011891423232
115052442307
12237a4b6800
13117680a210
1480b43709a
15498e749dc
hex2c4c8b800

11891423232 has 144 divisors (see below), whose sum is σ = 36987252120. Its totient is φ = 3658825728.

The previous prime is 11891423227. The next prime is 11891423237. The reversal of 11891423232 is 23232419811.

11891423232 is a `hidden beast` number, since 118 + 91 + 423 + 2 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (11891423227) and next prime (11891423237).

It is a tau number, because it is divible by the number of its divisors (144).

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

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 (11891423237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214803 + ... + 264429.

Almost surely, 211891423232 is an apocalyptic number.

11891423232 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 11891423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18493626060).

11891423232 is an abundant number, since it is smaller than the sum of its proper divisors (25095828888).

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

11891423232 is a wasteful number, since it uses less digits than its factorization.

11891423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49668 (or 49645 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 11891423232 in words is "eleven billion, eight hundred ninety-one million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4608 4992 6144 6656 7488 9216 9984 13312 14976 18432 19968 26624 29952 39936 49627 59904 79872 99254 119808 148881 198508 239616 297762 397016 446643 595524 645151 794032 893286 1191048 1290302 1588064 1786572 1935453 2382096 2580604 3176128 3573144 3870906 4764192 5161208 5806359 6352256 7146288 7741812 9528384 10322416 11612718 12704512 14292576 15483624 19056768 20644832 23225436 25409024 28585152 30967248 38113536 41289664 46450872 50818048 57170304 61934496 76227072 82579328 92901744 101636096 114340608 123868992 152454144 165158656 185803488 228681216 247737984 304908288 330317312 371606976 457362432 495475968 660634624 743213952 914724864 990951936 1321269248 1486427904 1981903872 2972855808 3963807744 5945711616 11891423232