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716238672480 = 2533567972263
BaseRepresentation
bin10100110110000110010…
…01101101001001100000
32112110201220102102122000
422123003021231021200
543213324100004410
61305011400244000
7102514030156662
oct12330311551140
92473656372560
10716238672480
11256834070681
12b698aa70600
13527057ca996
1426947c44532
151396e9e5dc0
hexa6c326d260

716238672480 has 576 divisors, whose sum is σ = 2580525319680. Its totient is φ = 185498615808.

The previous prime is 716238672439. The next prime is 716238672493. The reversal of 716238672480 is 84276832617.

716238672480 is a `hidden beast` number, since 7 + 1 + 62 + 38 + 6 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2723340829 + ... + 2723341091.

It is an arithmetic number, because the mean of its divisors is an integer number (4480078680).

Almost surely, 2716238672480 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 716238672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290262659840).

716238672480 is an abundant number, since it is smaller than the sum of its proper divisors (1864286647200).

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

716238672480 is a wasteful number, since it uses less digits than its factorization.

716238672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 716238672480 in words is "seven hundred sixteen billion, two hundred thirty-eight million, six hundred seventy-two thousand, four hundred eighty".