Search a number
-
+
1001295726474 = 231012696142391
BaseRepresentation
bin11101001001000011110…
…00000100011110001010
310112201112000120011001110
432210201320010132022
5112401123201221344
62043553334231150
7132225020150151
oct16444170043612
93481460504043
101001295726474
1135671337441a
12142083ab54b6
13735638685b4
143666a574598
151b0a53b03b9
hexe921e0478a

1001295726474 has 32 divisors (see below), whose sum is σ = 2029937708160. Its totient is φ = 329232104000.

The previous prime is 1001295726443. The next prime is 1001295726479. The reversal of 1001295726474 is 4746275921001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001295726479) 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 15 ways as a sum of consecutive naturals, for example, 2908182 + ... + 3234209.

It is an arithmetic number, because the mean of its divisors is an integer number (63435553380).

Almost surely, 21001295726474 is an apocalyptic number.

1001295726474 is an abundant number, since it is smaller than the sum of its proper divisors (1028641981686).

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

1001295726474 is a wasteful number, since it uses less digits than its factorization.

1001295726474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6142766.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 1001295726474 in words is "one trillion, one billion, two hundred ninety-five million, seven hundred twenty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 101 202 269 303 538 606 807 1614 27169 54338 81507 163014 6142391 12284782 18427173 36854346 620381491 1240762982 1652303179 1861144473 3304606358 3722288946 4956909537 9913819074 166882621079 333765242158 500647863237 1001295726474