Search a number
-
+
2003658402004 = 227226357387857
BaseRepresentation
bin11101001010000011010…
…110001110100011010100
321002112210101202221001121
4131022003112032203110
5230311443022331004
64132245025133324
7264521344260100
oct35120326164324
97075711687047
102003658402004
11702823a29416
122843a518a244
13116c37481c9c
146cd986c2900
15371be278854
hex1d28358e8d4

2003658402004 has 36 divisors (see below), whose sum is σ = 4079041304436. Its totient is φ = 858675949824.

The previous prime is 2003658401999. The next prime is 2003658402007. The reversal of 2003658402004 is 4002048563002.

It can be written as a sum of positive squares in 2 ways, for example, as 476955984400 + 1526702417604 = 690620^2 + 1235598^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003658402007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4972044 + ... + 5359900.

It is an arithmetic number, because the mean of its divisors is an integer number (113306702901).

Almost surely, 22003658402004 is an apocalyptic number.

It is an amenable number.

2003658402004 is an abundant number, since it is smaller than the sum of its proper divisors (2075382902432).

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

2003658402004 is a wasteful number, since it uses less digits than its factorization.

2003658402004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414232 (or 414223 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 2003658402004 in words is "two trillion, three billion, six hundred fifty-eight million, four hundred two thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 26357 52714 105428 184499 368998 387857 737996 775714 1291493 1551428 2582986 2714999 5165972 5429998 10859996 19004993 38009986 76019972 10222746949 20445493898 40890987796 71559228643 143118457286 286236914572 500914600501 1001829201002 2003658402004