Search a number
-
+
2604404420442 = 2321117773738687
BaseRepresentation
bin100101111001100010100…
…110011010111101011010
3100012222102102101122110100
4211321202212122331122
5320132310012423232
65312240305200230
7356106366212016
oct45714246327532
910188372348410
102604404420442
11914581442680
12360901930076
1315b795841906
14900a7a7d546
1547b2e858c7c
hex25e6299af5a

2604404420442 has 48 divisors (see below), whose sum is σ = 6517974707712. Its totient is φ = 742789138560.

The previous prime is 2604404420441. The next prime is 2604404420461. The reversal of 2604404420442 is 2440244044062.

2604404420442 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 404 + 4 + 204 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2604404420397 and 2604404420406.

It is not an unprimeable number, because it can be changed into a prime (2604404420441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386865978 + ... + 386872709.

It is an arithmetic number, because the mean of its divisors is an integer number (135791139744).

Almost surely, 22604404420442 is an apocalyptic number.

2604404420442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2604404420442 is an abundant number, since it is smaller than the sum of its proper divisors (3913570287270).

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

2604404420442 is a wasteful number, since it uses less digits than its factorization.

2604404420442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773738723 (or 773738720 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The spelling of 2604404420442 in words is "two trillion, six hundred four billion, four hundred four million, four hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 773738687 1547477374 2321216061 4642432122 6963648183 8511125557 13153557679 13927296366 17022251114 25533376671 26307115358 39460673037 51066753342 76600130013 78921346074 118382019111 144689134469 153200260026 236764038222 289378268938 434067403407 868134806814 1302202210221 2604404420442