Search a number
-
+
20432605533516 = 22331129593074583
BaseRepresentation
bin1001010010101010101100…
…01100011101010101001100
32200100100010102002121002000
410221111112030131111030
510134231434004033031
6111242335344032300
74206131004260241
oct451252614352514
980310112077060
1020432605533516
116568468168350
12235bb86302690
13b52a2ba46977
14508d2c90b5c8
15256773ecd3e6
hex12955631d54c

20432605533516 has 96 divisors (see below), whose sum is σ = 59781918067200. Its totient is φ = 5978191786560.

The previous prime is 20432605533493. The next prime is 20432605533517. The reversal of 20432605533516 is 61533550623402.

20432605533516 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 2 + 60 + 5 + 533 + 51 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (20432605533517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296502840 + ... + 296571743.

It is an arithmetic number, because the mean of its divisors is an integer number (622728313200).

Almost surely, 220432605533516 is an apocalyptic number.

It is an amenable number.

20432605533516 is an abundant number, since it is smaller than the sum of its proper divisors (39349312533684).

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

20432605533516 is a wasteful number, since it uses less digits than its factorization.

20432605533516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593074636 (or 593074628 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 20432605533516 in words is "twenty trillion, four hundred thirty-two billion, six hundred five million, five hundred thirty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 8613 11484 17226 34452 593074583 1186149166 1779223749 2372298332 3558447498 5337671247 6523820413 7116894996 10675342494 13047640826 16013013741 17199162907 19571461239 21350684988 26095281652 32026027482 34398325814 39142922478 51597488721 58714383717 64052054964 68796651628 78285844956 103194977442 117428767434 154792466163 176143151151 189190791977 206389954884 234857534868 309584932326 352286302302 378381583954 464377398489 567572375931 619169864652 704572604604 756763167908 928754796978 1135144751862 1702717127793 1857509593956 2270289503724 3405434255586 5108151383379 6810868511172 10216302766758 20432605533516