Search a number
-
+
20044544112 = 24321274672347
BaseRepresentation
bin10010101010101111…
…110111100001110000
31220201221100100021200
4102222233313201300
5312022400402422
613113000051200
71306502546055
oct225257674160
956657310250
1020044544112
11855669373a
123a74a63b00
131b759a28b8
14d8219d02c
157c4b192ac
hex4aabf7870

20044544112 has 120 divisors (see below), whose sum is σ = 56683800576. Its totient is φ = 6611891328.

The previous prime is 20044544081. The next prime is 20044544119. The reversal of 20044544112 is 21144544002.

20044544112 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 544 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20044544119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8539323 + ... + 8541669.

Almost surely, 220044544112 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 20044544112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341900288).

20044544112 is an abundant number, since it is smaller than the sum of its proper divisors (36639256464).

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

20044544112 is a wasteful number, since it uses less digits than its factorization.

20044544112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 20044544112 in words is "twenty billion, forty-four million, five hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 467 508 762 934 1016 1143 1401 1524 1868 2032 2286 2347 2802 3048 3736 4203 4572 4694 5604 6096 7041 7472 8406 9144 9388 11208 14082 16812 18288 18776 21123 22416 28164 33624 37552 42246 56328 59309 67248 84492 112656 118618 168984 177927 237236 298069 337968 355854 474472 533781 596138 711708 894207 948944 1067562 1096049 1192276 1423416 1788414 2135124 2192098 2384552 2682621 2846832 3288147 3576828 4270248 4384196 4769104 5365242 6576294 7153656 8540496 8768392 9864441 10730484 13152588 14307312 17536784 19728882 21460968 26305176 39457764 42921936 52610352 78915528 139198223 157831056 278396446 417594669 556792892 835189338 1113585784 1252784007 1670378676 2227171568 2505568014 3340757352 5011136028 6681514704 10022272056 20044544112