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714841216848 = 2434111724112239
BaseRepresentation
bin10100110011011111101…
…10110101011101010000
32112100010111212022220000
422121233312311131100
543202443322414343
61304221000050000
7102434301042213
oct12315766653520
92470114768800
10714841216848
1125618725a570
12b665aa63900
1352542130365
14268543d577a
15138dbea4ed3
hexa66fdb5750

714841216848 has 400 divisors, whose sum is σ = 2399924609280. Its totient is φ = 203013734400.

The previous prime is 714841216847. The next prime is 714841216913. The reversal of 714841216848 is 848612148417.

714841216848 is a `hidden beast` number, since 7 + 148 + 412 + 1 + 6 + 84 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 714841216794 and 714841216803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714841216847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58400713 + ... + 58412951.

Almost surely, 2714841216848 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 714841216848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199962304640).

714841216848 is an abundant number, since it is smaller than the sum of its proper divisors (1685083392432).

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

714841216848 is a wasteful number, since it uses less digits than its factorization.

714841216848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528 (or 12513 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The spelling of 714841216848 in words is "seven hundred fourteen billion, eight hundred forty-one million, two hundred sixteen thousand, eight hundred forty-eight".