Search a number
-
+
795016053216 = 253371131397971
BaseRepresentation
bin10111001000110101010…
…01100100000111100000
32211000002000222000022000
423210122221210013200
5101011143102200331
61405120401044000
7111303144644640
oct13443251440740
92730060860260
10795016053216
11287189921810
1210a0b5326600
1359c7b54b938
142a69c482520
1515a309ac0e6
hexb91aa641e0

795016053216 has 768 divisors, whose sum is σ = 2994822512640. Its totient is φ = 199127808000.

The previous prime is 795016053193. The next prime is 795016053217. The reversal of 795016053216 is 612350610597.

795016053216 is a `hidden beast` number, since 7 + 9 + 5 + 0 + 1 + 605 + 32 + 1 + 6 = 666.

It is a super-2 number, since 2×7950160532162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (795016053217) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 818759611 + ... + 818760581.

It is an arithmetic number, because the mean of its divisors is an integer number (3899508480).

Almost surely, 2795016053216 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 795016053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497411256320).

795016053216 is an abundant number, since it is smaller than the sum of its proper divisors (2199806459424).

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

795016053216 is a wasteful number, since it uses less digits than its factorization.

795016053216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 795016053216 in words is "seven hundred ninety-five billion, sixteen million, fifty-three thousand, two hundred sixteen".