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4232890437824 = 262326310933859
BaseRepresentation
bin111101100110001011111…
…011100101000011000000
3112222122211102010202002102
4331212023323211003000
51023322424423002244
613000321340205532
7614546654032316
oct75461373450300
915878742122072
104232890437824
111392182334594
125844425398a8
13249210283229
14108c316b20b6
1575191ba954e
hex3d98bee50c0

4232890437824 has 56 divisors (see below), whose sum is σ = 8798170993920. Its totient is φ = 2016728240384.

The previous prime is 4232890437799. The next prime is 4232890437829. The reversal of 4232890437824 is 4287340982324.

4232890437824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42328904378242 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4232890437824.

It is not an unprimeable number, because it can be changed into a prime (4232890437829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5079794 + ... + 5854065.

It is an arithmetic number, because the mean of its divisors is an integer number (157110196320).

Almost surely, 24232890437824 is an apocalyptic number.

It is an amenable number.

4232890437824 is an abundant number, since it is smaller than the sum of its proper divisors (4565280556096).

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

4232890437824 is a wasteful number, since it uses less digits than its factorization.

4232890437824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934157 (or 10934147 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 56.

The spelling of 4232890437824 in words is "four trillion, two hundred thirty-two billion, eight hundred ninety million, four hundred thirty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 263 368 526 736 1052 1472 2104 4208 6049 8416 12098 16832 24196 48392 96784 193568 387136 10933859 21867718 43735436 87470872 174941744 251478757 349883488 502957514 699766976 1005915028 2011830056 2875604917 4023660112 5751209834 8047320224 11502419668 16094640448 23004839336 46009678672 66138913091 92019357344 132277826182 184038714688 264555652364 529111304728 1058222609456 2116445218912 4232890437824