Search a number
-
+
194901878514 = 237192341259001
BaseRepresentation
bin1011010110000100001…
…1101010011011110010
3200122002001021021120010
42311201003222123302
511143124340103024
6225311531355350
720036564430030
oct2654103523362
9618061237503
10194901878514
1175726036062
12319342b2b56
13154c1056b45
14960cd9b550
15510aad9b29
hex2d610ea6f2

194901878514 has 128 divisors (see below), whose sum is σ = 501262110720. Its totient is φ = 49230720000.

The previous prime is 194901878497. The next prime is 194901878519. The reversal of 194901878514 is 415878109491.

194901878514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (194901878519) 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 63 ways as a sum of consecutive naturals, for example, 623014 + ... + 882014.

It is an arithmetic number, because the mean of its divisors is an integer number (3916110240).

Almost surely, 2194901878514 is an apocalyptic number.

194901878514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 194901878514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250631055360).

194901878514 is an abundant number, since it is smaller than the sum of its proper divisors (306360232206).

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

194901878514 is a wasteful number, since it uses less digits than its factorization.

194901878514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259096.

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 194901878514 in words is "one hundred ninety-four billion, nine hundred one million, eight hundred seventy-eight thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 23 38 41 42 46 57 69 82 114 123 133 138 161 246 266 287 322 399 437 483 574 779 798 861 874 943 966 1311 1558 1722 1886 2337 2622 2829 3059 4674 5453 5658 6118 6601 9177 10906 13202 16359 17917 18354 19803 32718 35834 39606 53751 107502 125419 250838 259001 376257 518002 752514 777003 1554006 1813007 3626014 4921019 5439021 5957023 9842038 10619041 10878042 11914046 14763057 17871069 21238082 29526114 31857123 34447133 35742138 41699161 63714246 68894266 74333287 83398322 103341399 113183437 125097483 148666574 201761779 206682798 222999861 226366874 244237943 250194966 339550311 403523558 445999722 488475886 605285337 679100622 732713829 792284059 1210570674 1412332453 1465427658 1584568118 1709665601 2376852177 2824664906 3419331202 4236997359 4640520917 4753704354 5128996803 8473994718 9281041834 10257993606 13921562751 27843125502 32483646419 64967292838 97450939257 194901878514