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107347188753 = 32797101173923
BaseRepresentation
bin110001111111001100…
…1000001110000010001
3101021002012200012110200
41203332121001300101
53224321340020003
6121151542445413
710520110022610
oct1437631016021
9337065605420
10107347188753
1141586764822
121897a433869
13a179a260cc
1452a4b55877
152bd42846a3
hex18fe641c11

107347188753 has 48 divisors (see below), whose sum is σ = 180808607616. Its totient is φ = 60107443200.

The previous prime is 107347188677. The next prime is 107347188757. The reversal of 107347188753 is 357881743701.

It is not a de Polignac number, because 107347188753 - 216 = 107347123217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 107347188753.

It is not an unprimeable number, because it can be changed into a prime (107347188757) 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 47 ways as a sum of consecutive naturals, for example, 530250 + ... + 704172.

It is an arithmetic number, because the mean of its divisors is an integer number (3766845992).

Almost surely, 2107347188753 is an apocalyptic number.

It is an amenable number.

107347188753 is a deficient number, since it is larger than the sum of its proper divisors (73461418863).

107347188753 is a wasteful number, since it uses less digits than its factorization.

107347188753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174134 (or 174131 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 107347188753 in words is "one hundred seven billion, three hundred forty-seven million, one hundred eighty-eight thousand, seven hundred fifty-three".

Divisors: 1 3 7 9 21 63 97 101 291 303 679 707 873 909 2037 2121 6111 6363 9797 29391 68579 88173 173923 205737 521769 617211 1217461 1565307 3652383 10957149 16870531 17566223 50611593 52698669 118093717 122963561 151834779 158096007 354281151 368890683 1062843453 1106672049 1703923631 5111770893 11927465417 15335312679 35782396251 107347188753