Search a number
-
+
120635005521404 = 221119226849282869
BaseRepresentation
bin11011011011011110000110…
…101001101100110111111100
3120211010121000221200211022102
4123123132012221230313330
5111302440442403141104
61104322542333004232
734260406616102663
oct3333360651546774
9524117027624272
10120635005521404
113549002273a090
1211643a57323678
135240aa849204a
1421b0aa0459dda
15de2ed7794a1e
hex6db786a6cdfc

120635005521404 has 72 divisors (see below), whose sum is σ = 243072284238000. Its totient is φ = 51945970037760.

The previous prime is 120635005521391. The next prime is 120635005521451. The reversal of 120635005521404 is 404125500536021.

120635005521404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426328082 + ... + 426610950.

It is an arithmetic number, because the mean of its divisors is an integer number (3376003947750).

Almost surely, 2120635005521404 is an apocalyptic number.

It is an amenable number.

120635005521404 is an abundant number, since it is smaller than the sum of its proper divisors (122437278716596).

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

120635005521404 is a wasteful number, since it uses less digits than its factorization.

120635005521404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309771 (or 309750 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 120635005521404 in words is "one hundred twenty trillion, six hundred thirty-five billion, five million, five hundred twenty-one thousand, four hundred four".

Divisors: 1 2 4 11 19 22 38 44 76 209 361 418 722 836 1444 3971 7942 15884 26849 53698 107396 282869 295339 510131 565738 590678 1020262 1131476 1181356 2040524 3111559 5374511 5611441 6223118 9692489 10749022 11222882 12446236 19384978 21498044 22445764 38769956 59119621 102115709 106617379 118239242 204231418 213234758 236478484 408462836 426469516 1123272799 2246545598 4493091196 7594749781 15189499562 30378999124 83542247591 144300245839 167084495182 288600491678 334168990364 577200983356 1587302704229 2741704670941 3174605408458 5483409341882 6349210816916 10966818683764 30158751380351 60317502760702 120635005521404