Search a number
-
+
9964503761373 = 327158166726371
BaseRepresentation
bin1001000100000000101010…
…1101010000000111011101
31022021121010101210111110200
42101000022231100013131
52301224300430330443
633105344013254113
72045624456321160
oct221001255200735
938247111714420
109964503761373
1131a1a16665617
12114b230194339
13573858198825
142663dab69ad7
151242eda3ddd3
hex9100ab501dd

9964503761373 has 12 divisors (see below), whose sum is σ = 16449339542688. Its totient is φ = 5694002149320.

The previous prime is 9964503761371. The next prime is 9964503761393. The reversal of 9964503761373 is 3731673054699.

9964503761373 is a `hidden beast` number, since 9 + 9 + 6 + 4 + 5 + 0 + 3 + 7 + 613 + 7 + 3 = 666.

It is not a de Polignac number, because 9964503761373 - 21 = 9964503761371 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 158166726371 = 9964503761373 / (9 + 9 + 6 + 4 + 5 + 0 + 3 + 7 + 6 + 1 + 3 + 7 + 3).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9964503761373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9964503761371) 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 11 ways as a sum of consecutive naturals, for example, 79083363123 + ... + 79083363248.

It is an arithmetic number, because the mean of its divisors is an integer number (1370778295224).

Almost surely, 29964503761373 is an apocalyptic number.

It is an amenable number.

9964503761373 is a deficient number, since it is larger than the sum of its proper divisors (6484835781315).

9964503761373 is a wasteful number, since it uses less digits than its factorization.

9964503761373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158166726384 (or 158166726381 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 9964503761373 in words is "nine trillion, nine hundred sixty-four billion, five hundred three million, seven hundred sixty-one thousand, three hundred seventy-three".

Divisors: 1 3 7 9 21 63 158166726371 474500179113 1107167084597 1423500537339 3321501253791 9964503761373