Search a number
-
+
2133042724036 = 227621292
BaseRepresentation
bin11111000010100011010…
…000001111110011000100
321112220202102012111021201
4133002203100033303010
5234421432414132121
64311523432152244
7310051534000000
oct37024320176304
97486672174251
102133042724036
11752689011584
122a5493838684
131261b692bb13
14753500c3700
153a743023e91
hex1f0a340fcc4

2133042724036 has 63 divisors (see below), whose sum is σ = 4357003442029. Its totient is φ = 913731782208.

The previous prime is 2133042724009. The next prime is 2133042724037. The reversal of 2133042724036 is 6304272403312.

The square root of 2133042724036 is 1460494.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 539792906436 + 1593249817600 = 734706^2 + 1262240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2133042723986 and 2133042724004.

It is not an unprimeable number, because it can be changed into a prime (2133042724037) 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 20 ways as a sum of consecutive naturals, for example, 1001897820 + ... + 1001899948.

Almost surely, 22133042724036 is an apocalyptic number.

2133042724036 is the 1460494-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133042724036

2133042724036 is an abundant number, since it is smaller than the sum of its proper divisors (2223960717993).

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

2133042724036 is an frugal number, since it uses more digits than its factorization.

2133042724036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 37.

The spelling of 2133042724036 in words is "two trillion, one hundred thirty-three billion, forty-two million, seven hundred twenty-four thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2129 2401 4258 4802 8516 9604 14903 16807 29806 33614 59612 67228 104321 117649 208642 235298 417284 470596 730247 1460494 2920988 4532641 5111729 9065282 10223458 18130564 20446916 31728487 35782103 63456974 71564206 126913948 143128412 222099409 250474721 444198818 500949442 888397636 1001898884 1554695863 3109391726 6218783452 10882871041 21765742082 43531484164 76180097287 152360194574 304720389148 533260681009 1066521362018 2133042724036