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20312115444 = 2233976133163
BaseRepresentation
bin10010111010101100…
…100100100011110100
31221102120211101011000
4102322230210203310
5313044400143234
613155315043300
71316232063315
oct227254444364
957376741130
1020312115444
118683728a75
123b2a5a0530
131bb925812a
14da993060c
157dd36e899
hex4bab248f4

20312115444 has 96 divisors (see below), whose sum is σ = 53307578240. Its totient is φ = 6687857664.

The previous prime is 20312115427. The next prime is 20312115451. The reversal of 20312115444 is 44451121302.

20312115444 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 211 + 5 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6420207 + ... + 6423369.

Almost surely, 220312115444 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 20312115444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26653789120).

20312115444 is an abundant number, since it is smaller than the sum of its proper divisors (32995462796).

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

20312115444 is a wasteful number, since it uses less digits than its factorization.

20312115444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20312115444 its reverse (44451121302), we get a palindrome (64763236746).

The spelling of 20312115444 in words is "twenty billion, three hundred twelve million, one hundred fifteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 613 873 1164 1226 1746 1839 2452 2619 3163 3492 3678 5238 5517 6326 7356 9489 10476 11034 12652 16551 18978 22068 28467 33102 37956 56934 59461 66204 85401 113868 118922 170802 178383 237844 306811 341604 356766 535149 613622 713532 920433 1070298 1227244 1605447 1840866 1938919 2140596 2761299 3210894 3681732 3877838 5522598 5816757 6421788 7755676 8283897 11045196 11633514 16567794 17450271 23267028 33135588 34900542 52350813 69801084 104701626 188075143 209403252 376150286 564225429 752300572 1128450858 1692676287 2256901716 3385352574 5078028861 6770705148 10156057722 20312115444