Search a number
-
+
10037646945 = 325534208657
BaseRepresentation
bin10010101100100101…
…00101011001100001
3221220112121022000200
421112102211121201
5131024114200240
64340005335413
7503512406544
oct112622453141
927815538020
1010037646945
114290a98797
121b41707569
13c3c73bc81
146b316285b
153db347930
hex2564a5661

10037646945 has 24 divisors (see below), whose sum is σ = 17726867496. Its totient is φ = 5252402688.

The previous prime is 10037646901. The next prime is 10037646947. The reversal of 10037646945 is 54964673001.

It can be written as a sum of positive squares in 4 ways, for example, as 241398369 + 9796248576 = 15537^2 + 98976^2 .

It is not a de Polignac number, because 10037646945 - 213 = 10037638753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10037646945.

It is not an unprimeable number, because it can be changed into a prime (10037646947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101944 + ... + 2106713.

It is an arithmetic number, because the mean of its divisors is an integer number (738619479).

Almost surely, 210037646945 is an apocalyptic number.

10037646945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10037646945 is a deficient number, since it is larger than the sum of its proper divisors (7689220551).

10037646945 is a wasteful number, since it uses less digits than its factorization.

10037646945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208721 (or 4208718 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 10037646945 in words is "ten billion, thirty-seven million, six hundred forty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 4208657 12625971 21043285 37877913 63129855 189389565 223058821 669176463 1115294105 2007529389 3345882315 10037646945