Search a number
-
+
4235045586992 = 24114157115151
BaseRepresentation
bin111101101000001100011…
…000110100100000110000
3112222212101121102122221222
4331220030120310200300
51023341333132240432
613001315244404212
7614654243351123
oct75501430644060
915885347378858
104235045586992
111393088910000
12584944246668
1324949491011c
14108d979d63ba
157526aeb7112
hex3da0c634830

4235045586992 has 100 divisors (see below), whose sum is σ = 9083453458080. Its totient is φ = 1912742832000.

The previous prime is 4235045586917. The next prime is 4235045586997. The reversal of 4235045586992 is 2996855405324.

It is a happy number.

It is a super-2 number, since 2×42350455869922 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4235045586997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36720617 + ... + 36835767.

Almost surely, 24235045586992 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 4235045586992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541726729040).

4235045586992 is an abundant number, since it is smaller than the sum of its proper divisors (4848407871088).

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

4235045586992 is a wasteful number, since it uses less digits than its factorization.

4235045586992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115360 (or 115321 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 62.

The spelling of 4235045586992 in words is "four trillion, two hundred thirty-five billion, forty-five million, five hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 157 176 242 314 484 628 968 1256 1331 1727 1936 2512 2662 3454 5324 6908 10648 13816 14641 18997 21296 27632 29282 37994 58564 75988 115151 117128 151976 208967 230302 234256 303952 417934 460604 835868 921208 1266661 1671736 1842416 2298637 2533322 3343472 4597274 5066644 9194548 10133288 13933271 18078707 18389096 20266576 27866542 36157414 36778192 55733084 72314828 111466168 144629656 153265981 198865777 222932336 289259312 306531962 397731554 613063924 795463108 1226127848 1590926216 1685925791 2187523547 2452255696 3181852432 3371851582 4375047094 6743703164 8750094188 13487406328 17500188376 24062759017 26974812656 35000376752 48125518034 96251036068 192502072136 264690349187 385004144272 529380698374 1058761396748 2117522793496 4235045586992