Search a number
-
+
191391812392 = 2311311493671283
BaseRepresentation
bin1011001000111111010…
…1110100101100101000
3200022000102110110001011
42302033311310230220
511113432300444032
6223531342433304
716553603364064
oct2621765645450
9608012413034
10191391812392
1174194763470
1231114892834
1315081aa4841
149398b3caa4
154ea2890247
hex2c8fd74b28

191391812392 has 128 divisors (see below), whose sum is σ = 408250368000. Its totient is φ = 83332051200.

The previous prime is 191391812371. The next prime is 191391812483. The reversal of 191391812392 is 293218193191.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149174583 + ... + 149175865.

It is an arithmetic number, because the mean of its divisors is an integer number (3189456000).

Almost surely, 2191391812392 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 191391812392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204125184000).

191391812392 is an abundant number, since it is smaller than the sum of its proper divisors (216858555608).

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

191391812392 is a wasteful number, since it uses less digits than its factorization.

191391812392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1843 counting only the distinct ones).

The product of its digits is 209952, while the sum is 49.

The spelling of 191391812392 in words is "one hundred ninety-one billion, three hundred ninety-one million, eight hundred twelve thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 149 248 298 341 367 596 682 734 1192 1283 1364 1468 1639 2566 2728 2936 3278 4037 4619 5132 6556 8074 9238 10264 11377 13112 14113 16148 18476 22754 28226 32296 36952 39773 45508 50809 54683 56452 79546 91016 101618 109366 112904 125147 159092 191167 203236 218732 250294 318184 382334 406472 437464 437503 470861 500588 601513 764668 875006 941722 1001176 1203026 1529336 1695173 1750012 1883444 2102837 2406052 3390346 3500024 3766888 4205674 4812104 5179471 5926177 6780692 8411348 10358942 11852354 13561384 14596691 16822696 18646903 20717884 23704708 29193382 37293806 41435768 47409416 58386764 65187947 70158289 74587612 116773528 130375894 140316578 149175224 160563601 260751788 280633156 321127202 521503576 561266312 642254404 771741179 1284508808 1543482358 2174906959 3086964716 4349813918 6173929432 8699627836 17399255672 23923976549 47847953098 95695906196 191391812392