Search a number
-
+
720063081216 = 28334153191251
BaseRepresentation
bin10100111101001110001…
…10101010101100000000
32112211121102201112011000
422132213012222230000
543244142122044331
61310443054452000
7103010556126453
oct12364706525400
92484542645130
10720063081216
11258416923556
12b7677804000
1352b94c3012b
1426bcbb2b49a
1513ae56340e6
hexa7a71aab00

720063081216 has 576 divisors, whose sum is σ = 2242981601280. Its totient is φ = 227635200000.

The previous prime is 720063081187. The next prime is 720063081223. The reversal of 720063081216 is 612180360027.

720063081216 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 630 + 8 + 1 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2868777091 + ... + 2868777341.

It is an arithmetic number, because the mean of its divisors is an integer number (3894065280).

Almost surely, 2720063081216 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 720063081216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121490800640).

720063081216 is an abundant number, since it is smaller than the sum of its proper divisors (1522918520064).

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

720063081216 is a wasteful number, since it uses less digits than its factorization.

720063081216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 720063081216 in words is "seven hundred twenty billion, sixty-three million, eighty-one thousand, two hundred sixteen".