Search a number
-
+
83310043932153 = 3218151141831757
BaseRepresentation
bin10010111100010100100001…
…100100110010010111111001
3101220222100210012110221112100
4102330110201210302113321
541404422432221312103
6453104034505334013
723355644360245113
oct2274244144622771
9356870705427470
1083310043932153
11245aa655a02a95
129416065197309
13376414632072c
14168032890a3b3
159971434c65a3
hex4bc5219325f9

83310043932153 has 12 divisors (see below), whose sum is σ = 121001573939428. Its totient is φ = 55233178296480.

The previous prime is 83310043932113. The next prime is 83310043932169. The reversal of 83310043932153 is 35123934001338.

83310043932153 is a `hidden beast` number, since 8 + 3 + 3 + 100 + 4 + 393 + 2 + 153 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27668410045929 + 55641633886224 = 5260077^2 + 7459332^2 .

It is not a de Polignac number, because 83310043932153 - 217 = 83310043801081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83310043932099 and 83310043932108.

It is not an unprimeable number, because it can be changed into a prime (83310043932113) 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, 25570914250 + ... + 25570917507.

Almost surely, 283310043932153 is an apocalyptic number.

It is an amenable number.

83310043932153 is a deficient number, since it is larger than the sum of its proper divisors (37691530007275).

83310043932153 is a wasteful number, since it uses less digits than its factorization.

83310043932153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51141831944 (or 51141831941 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 83310043932153 in words is "eighty-three trillion, three hundred ten billion, forty-three million, nine hundred thirty-two thousand, one hundred fifty-three".

Divisors: 1 3 9 181 543 1629 51141831757 153425495271 460276485813 9256671548017 27770014644051 83310043932153