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113948195733 = 3240213148697
BaseRepresentation
bin110101000011111010…
…1110111101110010101
3101220010020122002201200
41222013311313232111
53331331214230413
6124202545143113
711142512453121
oct1520765675625
9356106562650
10113948195733
1144363870a99
121a10102aa99
13a98c480bb8
14572d6d0581
152e6da38573
hex1a87d77b95

113948195733 has 12 divisors (see below), whose sum is σ = 164632823628. Its totient is φ = 75946547520.

The previous prime is 113948195729. The next prime is 113948195761. The reversal of 113948195733 is 337591849311.

113948195733 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 481 + 95 + 73 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7354434564 + 106593761169 = 85758^2 + 326487^2 .

It is not a de Polignac number, because 113948195733 - 22 = 113948195729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113948195733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113948195033) 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 11 ways as a sum of consecutive naturals, for example, 1538160 + ... + 1610537.

It is an arithmetic number, because the mean of its divisors is an integer number (13719401969).

Almost surely, 2113948195733 is an apocalyptic number.

It is an amenable number.

113948195733 is a deficient number, since it is larger than the sum of its proper divisors (50684627895).

113948195733 is a wasteful number, since it uses less digits than its factorization.

113948195733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152724 (or 3152721 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 113948195733 in words is "one hundred thirteen billion, nine hundred forty-eight million, one hundred ninety-five thousand, seven hundred thirty-three".

Divisors: 1 3 9 4021 12063 36189 3148697 9446091 28338273 12660910637 37982731911 113948195733