Search a number
-
+
1046404420776 = 23351113107127277
BaseRepresentation
bin11110011101000101001…
…00000101010010101000
310201000221201112020200000
433032202210011102220
5114121014012431101
62120413410143000
7135412606551351
oct17164244052250
93630851466600
101046404420776
1137386101a070
1214a972881a60
13778a21456a0
1438909418d28
151c34561e486
hexf3a29054a8

1046404420776 has 768 divisors, whose sum is σ = 3525173084160. Its totient is φ = 286643266560.

The previous prime is 1046404420759. The next prime is 1046404420781. The reversal of 1046404420776 is 6770244046401.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3777633150 + ... + 3777633426.

It is an arithmetic number, because the mean of its divisors is an integer number (4590069120).

Almost surely, 21046404420776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046404420776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762586542080).

1046404420776 is an abundant number, since it is smaller than the sum of its proper divisors (2478768663384).

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

1046404420776 is a wasteful number, since it uses less digits than its factorization.

1046404420776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 1046404420776 in words is "one trillion, forty-six billion, four hundred four million, four hundred twenty thousand, seven hundred seventy-six".