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107862485137 = 1123753454577
BaseRepresentation
bin110010001110100011…
…0101110100010010001
3101022102010021222012221
41210131012232202101
53231400244011022
6121315031221041
710535634665461
oct1443506564221
9338363258187
10107862485137
1141820619600
1218aa2b17781
13a22c705704
14531336dba1
152c1461ecc7
hex191d1ae891

107862485137 has 24 divisors (see below), whose sum is σ = 124061609448. Its totient is φ = 93606289920.

The previous prime is 107862485051. The next prime is 107862485147. The reversal of 107862485137 is 731584268701.

It can be written as a sum of positive squares in 4 ways, for example, as 22607828881 + 85254656256 = 150359^2 + 291984^2 .

It is not a de Polignac number, because 107862485137 - 211 = 107862483089 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107862485147) 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 23 ways as a sum of consecutive naturals, for example, 9993 + ... + 464569.

It is an arithmetic number, because the mean of its divisors is an integer number (5169233727).

Almost surely, 2107862485137 is an apocalyptic number.

It is an amenable number.

107862485137 is a deficient number, since it is larger than the sum of its proper divisors (16199124311).

107862485137 is a wasteful number, since it uses less digits than its factorization.

107862485137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454689 (or 454678 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 107862485137 in words is "one hundred seven billion, eight hundred sixty-two million, four hundred eighty-five thousand, one hundred thirty-seven".

Divisors: 1 11 37 53 121 407 583 1961 4477 6413 21571 237281 454577 5000347 16819349 24092581 55003817 185012839 265018391 891425497 2035141229 2915202301 9805680467 107862485137