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20312348892 = 223112234712941
BaseRepresentation
bin10010111010101101…
…011101100011011100
31221102121021020101020
4102322231131203130
5313044430131032
613155324044140
71316234055033
oct227255354334
957377236336
1020312348892
118683878400
123b2a693650
131bb930a474
14da999171a
157dd3b8b2c
hex4bab5d8dc

20312348892 has 144 divisors (see below), whose sum is σ = 55521801216. Its totient is φ = 5761923200.

The previous prime is 20312348839. The next prime is 20312348893. The reversal of 20312348892 is 29884321302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312348893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563142 + ... + 1576082.

It is an arithmetic number, because the mean of its divisors is an integer number (385568064).

Almost surely, 220312348892 is an apocalyptic number.

20312348892 is a gapful number since it is divisible by the number (22) 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 20312348892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760900608).

20312348892 is an abundant number, since it is smaller than the sum of its proper divisors (35209452324).

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

20312348892 is a wasteful number, since it uses less digits than its factorization.

20312348892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13040 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 20312348892 in words is "twenty billion, three hundred twelve million, three hundred forty-eight thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 47 66 69 92 94 121 132 138 141 188 242 253 276 282 363 484 506 517 564 726 759 1012 1034 1081 1452 1518 1551 2068 2162 2783 3036 3102 3243 4324 5566 5687 6204 6486 8349 11132 11374 11891 12941 12972 16698 17061 22748 23782 25882 33396 34122 35673 38823 47564 51764 68244 71346 77646 130801 142351 142692 155292 261602 284702 297643 392403 427053 523204 569404 595286 608227 784806 854106 892929 1190572 1216454 1565861 1569612 1708212 1785858 1824681 2432908 3131722 3274073 3571716 3649362 4697583 6263444 6548146 6690497 7298724 9395166 9822219 13096292 13380994 13989221 18790332 19644438 20071491 26761988 27978442 36014803 39288876 40142982 41967663 55956884 72029606 73595467 80285964 83935326 108044409 144059212 147190934 153881431 167870652 216088818 220786401 294381868 307762862 432177636 441572802 461644293 615525724 883145604 923288586 1692695741 1846577172 3385391482 5078087223 6770782964 10156174446 20312348892