Search a number
-
+
6916816361340 = 2232538426757563
BaseRepresentation
bin110010010100111001001…
…1000011101011101111100
3220111020111211021022011100
41210221302120131131330
51401311114442030330
622413312551253100
71312503105001224
oct144516230353574
926436454238140
106916816361340
112227450573436
1293863797a190
133b2339a63172
1419cac0731084
15bedc79b5060
hex64a7261d77c

6916816361340 has 36 divisors (see below), whose sum is σ = 20981009629944. Its totient is φ = 1844484362976.

The previous prime is 6916816361297. The next prime is 6916816361341. The reversal of 6916816361340 is 431636186196.

It is a happy number.

6916816361340 is a `hidden beast` number, since 6 + 9 + 1 + 6 + 8 + 16 + 3 + 613 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6916816361341) 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, 19213378602 + ... + 19213378961.

It is an arithmetic number, because the mean of its divisors is an integer number (582805823054).

Almost surely, 26916816361340 is an apocalyptic number.

6916816361340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6916816361340 is an abundant number, since it is smaller than the sum of its proper divisors (14064193268604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6916816361340 is a wasteful number, since it uses less digits than its factorization.

6916816361340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38426757578 (or 38426757573 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 6916816361340 in words is "six trillion, nine hundred sixteen billion, eight hundred sixteen million, three hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 38426757563 76853515126 115280272689 153707030252 192133787815 230560545378 345840818067 384267575630 461121090756 576401363445 691681636134 768535151260 1152802726890 1383363272268 1729204090335 2305605453780 3458408180670 6916816361340