Search a number
-
+
1005048053224 = 237910115745207
BaseRepresentation
bin11101010000000011000…
…10000011110111101000
310120002012112020002200021
432220001202003313220
5112431314300200344
62045413535450224
7132420012332245
oct16500142036750
93502175202607
101005048053224
11358269474006
12142950686974
1373a11080697
1436904a565cc
151b224a10b84
hexea01883de8

1005048053224 has 32 divisors (see below), whose sum is σ = 1927213459200. Its totient is φ = 491250427200.

The previous prime is 1005048053201. The next prime is 1005048053227. The reversal of 1005048053224 is 4223508405001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005048053224.

It is not an unprimeable number, because it can be changed into a prime (1005048053227) 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 7 ways as a sum of consecutive naturals, for example, 7808772 + ... + 7936435.

It is an arithmetic number, because the mean of its divisors is an integer number (60225420600).

Almost surely, 21005048053224 is an apocalyptic number.

It is an amenable number.

1005048053224 is a deficient number, since it is larger than the sum of its proper divisors (922165405976).

1005048053224 is a wasteful number, since it uses less digits than its factorization.

1005048053224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15745393 (or 15745389 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 1005048053224 in words is "one trillion, five billion, forty-eight million, fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 79 101 158 202 316 404 632 808 7979 15958 31916 63832 15745207 31490414 62980828 125961656 1243871353 1590265907 2487742706 3180531814 4975485412 6361063628 9950970824 12722127256 125631006653 251262013306 502524026612 1005048053224