Search a number
-
+
20042324154 = 23319232929287
BaseRepresentation
bin10010101010100111…
…011001100010111010
31220201210011120002000
4102222213121202322
5312021313333104
613112440321430
71306444641636
oct225247314272
956653146060
1020042324154
118555407866
123a74173276
131b753a6308
14d81b81dc6
157c482b639
hex4aa9d98ba

20042324154 has 128 divisors (see below), whose sum is σ = 50609664000. Its totient is φ = 5845017024.

The previous prime is 20042324149. The next prime is 20042324161. The reversal of 20042324154 is 45142324002.

20042324154 is a `hidden beast` number, since 200 + 42 + 3 + 2 + 415 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669699 + ... + 698985.

It is an arithmetic number, because the mean of its divisors is an integer number (395388000).

Almost surely, 220042324154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20042324154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304832000).

20042324154 is an abundant number, since it is smaller than the sum of its proper divisors (30567339846).

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

20042324154 is a wasteful number, since it uses less digits than its factorization.

20042324154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29369 (or 29363 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20042324154 its reverse (45142324002), we get a palindrome (65184648156).

The spelling of 20042324154 in words is "twenty billion, forty-two million, three hundred twenty-four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 23 27 29 38 46 54 57 58 69 87 114 138 171 174 207 261 342 414 437 513 522 551 621 667 783 874 1026 1102 1242 1311 1334 1566 1653 2001 2622 3306 3933 4002 4959 6003 7866 9918 11799 12006 12673 14877 18009 23598 25346 29287 29754 36018 38019 58574 76038 87861 114057 175722 228114 263583 342171 527166 556453 673601 684342 790749 849323 1112906 1347202 1581498 1669359 1698646 2020803 2547969 3338718 4041606 5008077 5095938 6062409 7643907 10016154 12124818 12798419 15024231 15287814 16137137 18187227 19534429 22931721 25596838 30048462 32274274 36374454 38395257 39068858 45863442 48411411 58603287 76790514 96822822 115185771 117206574 145234233 175809861 230371542 290468466 345557313 351619722 371154151 435702699 527429583 691114626 742308302 871405398 1054859166 1113462453 2226924906 3340387359 6680774718 10021162077 20042324154