Search a number
-
+
83349260037 = 338803350677
BaseRepresentation
bin100110110100000000…
…0001100011100000101
321222010202100010001000
41031220000030130011
52331144402310122
6102142355523513
76010321010061
oct1155000143405
9258122303030
1083349260037
113239153678a
12141a15b9599
137b23ca37a4
1440698d8aa1
15227c5520ac
hex136800c705

83349260037 has 16 divisors (see below), whose sum is σ = 123494764480. Its totient is φ = 55559702736.

The previous prime is 83349259963. The next prime is 83349260041. The reversal of 83349260037 is 73006294338.

83349260037 is a `hidden beast` number, since 8 + 3 + 3 + 4 + 9 + 2 + 600 + 37 = 666.

It is not a de Polignac number, because 83349260037 - 28 = 83349259781 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83349259974 and 83349260001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83349260047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62343 + ... + 413019.

It is an arithmetic number, because the mean of its divisors is an integer number (7718422780).

Almost surely, 283349260037 is an apocalyptic number.

It is an amenable number.

83349260037 is a deficient number, since it is larger than the sum of its proper divisors (40145504443).

83349260037 is a wasteful number, since it uses less digits than its factorization.

83349260037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359489 (or 359483 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 83349260037 in words is "eighty-three billion, three hundred forty-nine million, two hundred sixty thousand, thirty-seven".

Divisors: 1 3 9 27 8803 26409 79227 237681 350677 1052031 3156093 9468279 3087009631 9261028893 27783086679 83349260037