Search a number
-
+
107243763627 = 37111322747093
BaseRepresentation
bin110001111100000111…
…0011111011110101011
3101020211000001122212110
41203320032133132223
53224113400414002
6121133410013403
710514412643620
oct1437016373653
9336730048773
10107243763627
1141533343a10
121894b877263
13a161483600
145295112347
152bca154e6c
hex18f839f7ab

107243763627 has 48 divisors (see below), whose sum is σ = 193043789568. Its totient is φ = 51425562240.

The previous prime is 107243763623. The next prime is 107243763637. The reversal of 107243763627 is 726367342701.

It is a happy number.

It is not a de Polignac number, because 107243763627 - 22 = 107243763623 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (107243763623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334508 + ... + 1412585.

It is an arithmetic number, because the mean of its divisors is an integer number (4021745616).

Almost surely, 2107243763627 is an apocalyptic number.

107243763627 is a deficient number, since it is larger than the sum of its proper divisors (85800025941).

107243763627 is a wasteful number, since it uses less digits than its factorization.

107243763627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747140 (or 2747127 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 107243763627 in words is "one hundred seven billion, two hundred forty-three million, seven hundred sixty-three thousand, six hundred twenty-seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 507 1001 1183 1859 3003 3549 5577 13013 39039 2747093 8241279 19229651 30218023 35712209 57688953 90654069 107136627 211526161 249985463 392834299 464258717 634578483 749956389 1178502897 1392776151 2749840093 3249811019 5106845887 8249520279 9749433057 15320537661 35747921209 107243763627