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716948221248 = 2634725714943
BaseRepresentation
bin10100110111011010111…
…00011010110101000000
32112112120100120020120000
422123231130122311000
543221302221034443
61305210024320000
7102540434221200
oct12335534326500
92475510506500
10716948221248
11257068642116
12b6b48613000
13527b980141c
14269b4186400
15139b1e528d3
hexa6ed71ad40

716948221248 has 420 divisors, whose sum is σ = 2477070902592. Its totient is φ = 204442237440.

The previous prime is 716948221247. The next prime is 716948221267. The reversal of 716948221248 is 842122849617.

716948221248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 716948221194 and 716948221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716948221247) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145040665 + ... + 145045607.

Almost surely, 2716948221248 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 716948221248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238535451296).

716948221248 is an abundant number, since it is smaller than the sum of its proper divisors (1760122681344).

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

716948221248 is a wasteful number, since it uses less digits than its factorization.

716948221248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5526 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 716948221248 in words is "seven hundred sixteen billion, nine hundred forty-eight million, two hundred twenty-one thousand, two hundred forty-eight".