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163023199144 = 231319199607683
BaseRepresentation
bin1001011111010011110…
…0001001101110101000
3120120210100220120120121
42113310330021232220
510132332414333034
6202520344533024
714530603220611
oct2276474115650
9516710816517
10163023199144
1163157389453
1227718181174
13124b06b4760
147c67238c08
1543920b51b4
hex25f4f09ba8

163023199144 has 128 divisors (see below), whose sum is σ = 349332480000. Its totient is φ = 70702689024.

The previous prime is 163023199037. The next prime is 163023199151. The reversal of 163023199144 is 441991320361.

163023199144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 163023199144.

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, 238686627 + ... + 238687309.

It is an arithmetic number, because the mean of its divisors is an integer number (2729160000).

Almost surely, 2163023199144 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 163023199144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240000).

163023199144 is an abundant number, since it is smaller than the sum of its proper divisors (186309280856).

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

163023199144 is a wasteful number, since it uses less digits than its factorization.

163023199144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 163023199144 in words is "one hundred sixty-three billion, twenty-three million, one hundred ninety-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 199 247 398 494 607 683 796 988 1214 1366 1592 1976 2428 2587 2732 3781 4856 5174 5464 7562 7891 8879 10348 11533 12977 15124 15782 17758 20696 23066 25954 30248 31564 35516 46132 49153 51908 63128 71032 92264 98306 103816 120793 135917 149929 168701 196612 241586 271834 299858 337402 393224 414581 483172 543668 599716 674804 829162 966344 1087336 1199432 1349608 1570309 1658324 1766921 2295067 2582423 3140618 3316648 3533842 4590134 5164846 5389553 6281236 7067684 7877039 9180268 10329692 10779106 12562472 14135368 15754078 18360536 20659384 21558212 29835871 31508156 33571499 43116424 59671742 63016312 67142998 82501619 102401507 119343484 134285996 165003238 204803014 238686968 268571992 330006476 409606028 660012952 819212056 1072521047 1567530761 2145042094 3135061522 4290084188 6270123044 8580168376 12540246088 20377899893 40755799786 81511599572 163023199144