Search a number
-
+
296139218020416 = 2632712100992
BaseRepresentation
bin100001101010101100100100…
…0111001001110100001000000
31102211112122002021112002100100
41003111121020321032201000
5302303421104303123131
62525500251215322400
7116243231614222251
oct10325311071164100
91384478067462310
10296139218020416
11863a4a3426a181
1229269920b20400
13c931a68187874
14531b300d2ab28
1524383d9b0c7e6
hex10d5648e4e840

296139218020416 has 189 divisors, whose sum is σ = 861038590285263. Its totient is φ = 97313110836480.

The previous prime is 296139218020409. The next prime is 296139218020427. The reversal of 296139218020416 is 614020812931692.

It is a happy number.

The square root of 296139218020416 is 17208696.

It is a perfect power (a square), and thus also a powerful number.

296139218020416 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 3 + 9 + 218 + 0 + 2 + 0 + 416 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29323612935 + ... + 29323623033.

Almost surely, 2296139218020416 is an apocalyptic number.

296139218020416 is the 17208696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296139218020416

296139218020416 is an abundant number, since it is smaller than the sum of its proper divisors (564899372264847).

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

296139218020416 is an frugal number, since it uses more digits than its factorization.

296139218020416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20358 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 296139218020416 in words is "two hundred ninety-six trillion, one hundred thirty-nine billion, two hundred eighteen million, twenty thousand, four hundred sixteen".