Search a number
-
+
10036956769 = 73146253257
BaseRepresentation
bin10010101100011111…
…11100111001100001
3221220111022020021121
421112033330321201
5131023430104034
64335542452241
7503503503430
oct112617747141
927814266247
1010036956769
1142906671a4
121b41434081
13c3c559a98
146b3023117
153db25d1b4
hex2563fce61

10036956769 has 8 divisors (see below), whose sum is σ = 11840834048. Its totient is φ = 8325586080.

The previous prime is 10036956767. The next prime is 10036956793. The reversal of 10036956769 is 96765963001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10036956769 - 21 = 10036956767 is a prime.

It is a super-3 number, since 3×100369567693 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10036956763) 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 7 ways as a sum of consecutive naturals, for example, 23126412 + ... + 23126845.

It is an arithmetic number, because the mean of its divisors is an integer number (1480104256).

Almost surely, 210036956769 is an apocalyptic number.

It is an amenable number.

10036956769 is a deficient number, since it is larger than the sum of its proper divisors (1803877279).

10036956769 is an equidigital number, since it uses as much as digits as its factorization.

10036956769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46253295.

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 10036956769 in words is "ten billion, thirty-six million, nine hundred fifty-six thousand, seven hundred sixty-nine".

Divisors: 1 7 31 217 46253257 323772799 1433850967 10036956769