Search a number
-
+
20822092544 = 281189251331
BaseRepresentation
bin10011011001000101…
…111110101100000000
31222202010102220012202
4103121011332230000
5320120423430134
613322053412332
71334663603111
oct233105765400
958663386182
1020822092544
11891558a350
12405133a0a8
131c6aac4526
141017562208
1581d008d7e
hex4d917eb00

20822092544 has 144 divisors (see below), whose sum is σ = 46172488320. Its totient is φ = 9292800000.

The previous prime is 20822092531. The next prime is 20822092547. The reversal of 20822092544 is 44529022802.

It is a junction number, because it is equal to n+sod(n) for n = 20822092498 and 20822092507.

It is not an unprimeable number, because it can be changed into a prime (20822092547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62906459 + ... + 62906789.

It is an arithmetic number, because the mean of its divisors is an integer number (320642280).

Almost surely, 220822092544 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 20822092544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23086244160).

20822092544 is an abundant number, since it is smaller than the sum of its proper divisors (25350395776).

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

20822092544 is a wasteful number, since it uses less digits than its factorization.

20822092544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 20822092544 in words is "twenty billion, eight hundred twenty-two million, ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 251 256 331 352 356 502 662 704 712 979 1004 1324 1408 1424 1958 2008 2648 2761 2816 2848 3641 3916 4016 5296 5522 5696 7282 7832 8032 10592 11044 11392 14564 15664 16064 21184 22088 22339 22784 29128 29459 31328 32128 42368 44176 44678 58256 58918 62656 64256 83081 84736 88352 89356 116512 117836 125312 166162 176704 178712 233024 235672 245729 250624 324049 332324 353408 357424 466048 471344 491458 648098 664648 706816 714848 913891 932096 942688 982916 1296196 1329296 1429696 1827782 1885376 1965832 2592392 2658592 2859392 3655564 3770752 3931664 5184784 5317184 5718784 7311128 7394209 7541504 7863328 10369568 10634368 14622256 14788418 15726656 20739136 21268736 29244512 29576836 31453312 41478272 58489024 59153672 62906624 81336299 82956544 116978048 118307344 162672598 233956096 236614688 325345196 473229376 650690392 946458752 1301380784 1892917504 2602761568 5205523136 10411046272 20822092544