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20045544312 = 23319972291979
BaseRepresentation
bin10010101010110011…
…101011101101111000
31220202000020011022010
4102222303223231320
5312023124404222
613113033325520
71306514213103
oct225263535570
956660204263
1020045544312
118557207152
123a752668a0
131b75c62c31
14d8237d73a
157c4c6580c
hex4aacebb78

20045544312 has 128 divisors (see below), whose sum is σ = 53555040000. Its totient is φ = 6234402816.

The previous prime is 20045544289. The next prime is 20045544319. The reversal of 20045544312 is 21344554002.

It is a super-3 number, since 3×200455443123 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20045544312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20045544319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10128139 + ... + 10130117.

It is an arithmetic number, because the mean of its divisors is an integer number (418398750).

Almost surely, 220045544312 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 20045544312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26777520000).

20045544312 is an abundant number, since it is smaller than the sum of its proper divisors (33509495688).

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

20045544312 is a wasteful number, since it uses less digits than its factorization.

20045544312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 20045544312 in words is "twenty billion, forty-five million, five hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 152 194 228 229 291 388 456 458 582 687 776 916 1164 1374 1832 1843 1979 2328 2748 3686 3958 4351 5496 5529 5937 7372 7916 8702 11058 11874 13053 14744 15832 17404 22116 22213 23748 26106 34808 37601 44232 44426 47496 52212 66639 75202 88852 104424 112803 133278 150404 177704 191963 225606 266556 300808 383926 422047 451212 453191 533112 575889 767852 844094 902424 906382 1151778 1266141 1359573 1535704 1688188 1812764 2303556 2532282 2719146 3376376 3625528 3647297 4607112 5064564 5438292 7294594 8610629 10129128 10876584 10941891 14589188 17221258 21883782 25831887 29178376 34442516 43767564 43959527 51663774 68885032 87535128 87919054 103327548 131878581 175838108 206655096 263757162 351676216 527514324 835231013 1055028648 1670462026 2505693039 3340924052 5011386078 6681848104 10022772156 20045544312