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108442772020 = 2251113114592579
BaseRepresentation
bin110010011111110110…
…0010110001000110100
3101100220120012121011201
41210333230112020310
53234042322201040
6121452400542244
710556212232122
oct1447754261064
9340816177151
10108442772020
1141a99132740
1219025321984
13a2c29bb62b
14536a464912
152c4a546a9a
hex193fb16234

108442772020 has 96 divisors (see below), whose sum is σ = 250597670400. Its totient is φ = 39090729600.

The previous prime is 108442771993. The next prime is 108442772029. The reversal of 108442772020 is 20277244801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108442772029) 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 31 ways as a sum of consecutive naturals, for example, 42047091 + ... + 42049669.

It is an arithmetic number, because the mean of its divisors is an integer number (2610392400).

Almost surely, 2108442772020 is an apocalyptic number.

108442772020 is a gapful number since it is divisible by the number (10) 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 108442772020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125298835200).

108442772020 is an abundant number, since it is smaller than the sum of its proper divisors (142154898380).

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

108442772020 is a wasteful number, since it uses less digits than its factorization.

108442772020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The spelling of 108442772020 in words is "one hundred eight billion, four hundred forty-two million, seven hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 1459 2579 2620 2882 2918 5158 5764 5836 7205 7295 10316 12895 14410 14590 16049 25790 28369 28820 29180 32098 51580 56738 64196 80245 113476 141845 160490 191129 283690 320980 337849 382258 567380 675698 764516 955645 1351396 1689245 1911290 2102419 3378490 3716339 3762761 3822580 4204838 6756980 7432678 7525522 8409676 10512095 14865356 15051044 18581695 18813805 21024190 37163390 37627610 41390371 42048380 74326780 75255220 82780742 165561484 206951855 413903710 492921691 827807420 985843382 1971686764 2464608455 4929216910 5422138601 9858433820 10844277202 21688554404 27110693005 54221386010 108442772020