Search a number
-
+
402191091198 = 232132541724407
BaseRepresentation
bin1011101101001000111…
…01010000010111111110
31102110010101111100001200
411312210131100113332
523042141404404243
6504433010520330
741025445604001
oct5664435202776
91373111440050
10402191091198
11145628427676
1265b44b960a6
132bc07570a00
14156751a1538
15a6dde55ad3
hex5da47505fe

402191091198 has 72 divisors (see below), whose sum is σ = 943815036528. Its totient is φ = 123723190656.

The previous prime is 402191091191. The next prime is 402191091199. The reversal of 402191091198 is 891190191204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402191091191) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16466311 + ... + 16490717.

It is an arithmetic number, because the mean of its divisors is an integer number (13108542174).

Almost surely, 2402191091198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402191091198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471907518264).

402191091198 is an abundant number, since it is smaller than the sum of its proper divisors (541623945330).

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

402191091198 is a wasteful number, since it uses less digits than its factorization.

402191091198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29858 (or 29842 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 402191091198 in words is "four hundred two billion, one hundred ninety-one million, ninety-one thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 5417 10834 16251 24407 32502 48753 48814 70421 73221 97506 140842 146442 211263 219663 317291 422526 439326 633789 634582 915473 951873 1267578 1830946 1903746 2746419 2855619 4124783 5492838 5711238 8239257 8249566 12374349 16478514 24748698 37123047 74246094 132212719 264425438 396638157 793276314 1189914471 1718765347 2379828942 3437530694 5156296041 10312592082 15468888123 22343949511 30937776246 44687899022 67031848533 134063697066 201095545599 402191091198