Search a number
-
+
3696081674496 = 283172983337349
BaseRepresentation
bin110101110010001111101…
…000101010000100000000
3111002100020021202010002020
4311302033220222010000
5441024033402040441
611505542333321440
7531014230603101
oct65621750520400
914070207663066
103696081674496
1111a5554826432
124b83aa336280
1320a701273a33
14cac69a683a8
156622480ae66
hex35c8fa2a100

3696081674496 has 576 divisors, whose sum is σ = 10968283872000. Its totient is φ = 1099639554048.

The previous prime is 3696081674471. The next prime is 3696081674573. The reversal of 3696081674496 is 6944761806963.

It is a super-2 number, since 2×36960816744962 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3696081674496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10590491730 + ... + 10590492078.

It is an arithmetic number, because the mean of its divisors is an integer number (19042159500).

Almost surely, 23696081674496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3696081674496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5484141936000).

3696081674496 is an abundant number, since it is smaller than the sum of its proper divisors (7272202197504).

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

3696081674496 is a wasteful number, since it uses less digits than its factorization.

3696081674496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 3696081674496 in words is "three trillion, six hundred ninety-six billion, eighty-one million, six hundred seventy-four thousand, four hundred ninety-six".