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2068269192 = 2332117136781
BaseRepresentation
bin111101101000111…
…0100100010001000
312100010210221221200
41323101310202020
513213434103232
6541122104200
7102152666223
oct17321644210
95303727850
102068269192
11971536290
124987ab060
1326c65b132
1415898a5ba
15c189a77c
hex7b474888

2068269192 has 96 divisors (see below), whose sum is σ = 6197031360. Its totient is φ = 617904000.

The previous prime is 2068269157. The next prime is 2068269193. The reversal of 2068269192 is 2919628602.

It is not an unprimeable number, because it can be changed into a prime (2068269193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37842 + ... + 74622.

It is an arithmetic number, because the mean of its divisors is an integer number (64552410).

Almost surely, 22068269192 is an apocalyptic number.

2068269192 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 2068269192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098515680).

2068269192 is an abundant number, since it is smaller than the sum of its proper divisors (4128762168).

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

2068269192 is a wasteful number, since it uses less digits than its factorization.

2068269192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36875 (or 36868 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2068269192 is about 45478.2276699521. The cubic root of 2068269192 is about 1274.0965927944.

The spelling of 2068269192 in words is "two billion, sixty-eight million, two hundred sixty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 3124 4686 5112 6248 7029 9372 14058 18744 28116 36781 56232 73562 110343 147124 220686 294248 331029 404591 441372 662058 809182 882744 1213773 1324116 1618364 2427546 2611451 2648232 3236728 3641319 4855092 5222902 7282638 7834353 9710184 10445804 14565276 15668706 20891608 23503059 28725961 29130552 31337412 47006118 57451922 62674824 86177883 94012236 114903844 172355766 188024472 229807688 258533649 344711532 517067298 689423064 1034134596 2068269192