Search a number
-
+
199041062346 = 2357544110753
BaseRepresentation
bin1011100101011111000…
…1011001010111001010
3201000202111212121100000
42321113301121113022
511230114002443341
6231234352423430
720244265054260
oct2712761312712
9630674777300
10199041062346
117745a544145
12326aa547b76
1315a0075b249
1498c29c2430
15529e1a48b6
hex2e57c595ca

199041062346 has 96 divisors (see below), whose sum is σ = 511259269248. Its totient is φ = 56853135360.

The previous prime is 199041062333. The next prime is 199041062351. The reversal of 199041062346 is 643260140991.

199041062346 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 4 + 10 + 623 + 4 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18504906 + ... + 18515658.

It is an arithmetic number, because the mean of its divisors is an integer number (5325617388).

Almost surely, 2199041062346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199041062346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255629634624).

199041062346 is an abundant number, since it is smaller than the sum of its proper divisors (312218206902).

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

199041062346 is a wasteful number, since it uses less digits than its factorization.

199041062346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16218 (or 16206 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 199041062346 in words is "one hundred ninety-nine billion, forty-one million, sixty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 5441 10753 10882 16323 21506 32259 32646 38087 48969 64518 75271 76174 96777 97938 114261 146907 150542 193554 225813 228522 290331 293814 342783 440721 451626 580662 677439 685566 870993 881442 1028349 1322163 1354878 1741986 2032317 2056698 2612979 2644326 3085047 4064634 5225958 6096951 6170094 9255141 12193902 18290853 18510282 36581706 58507073 117014146 175521219 351042438 409549511 526563657 819099022 1053127314 1228648533 1579690971 2457297066 3159381942 3685945599 4739072913 7371891198 9478145826 11057836797 14217218739 22115673594 28434437478 33173510391 66347020782 99520531173 199041062346