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114735737357 = 17659215541
BaseRepresentation
bin110101011011011001…
…0000110101000001101
3101222011010112100201222
41222312302012220031
53334434322043412
6124413041013125
711201154450623
oct1526662065015
9358133470658
10114735737357
114472837273a
121a2a09241a5
13aa86691267
1457a6135513
152eb7c4e072
hex1ab6c86a0d

114735737357 has 12 divisors (see below), whose sum is σ = 121677354396. Its totient is φ = 107815774080.

The previous prime is 114735737353. The next prime is 114735737393. The reversal of 114735737357 is 753737537411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89512262596 + 25223474761 = 299186^2 + 158819^2 .

It is not a de Polignac number, because 114735737357 - 22 = 114735737353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114735737299 and 114735737308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114735737353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7375007 + ... + 7390547.

It is an arithmetic number, because the mean of its divisors is an integer number (10139779533).

Almost surely, 2114735737357 is an apocalyptic number.

114735737357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

114735737357 is a deficient number, since it is larger than the sum of its proper divisors (6941617039).

114735737357 is an frugal number, since it uses more digits than its factorization.

114735737357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16876 (or 16217 counting only the distinct ones).

The product of its digits is 6482700, while the sum is 53.

The spelling of 114735737357 in words is "one hundred fourteen billion, seven hundred thirty-five million, seven hundred thirty-seven thousand, three hundred fifty-seven".

Divisors: 1 17 659 11203 15541 264197 434281 7382777 10241519 174105823 6749161021 114735737357