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714715056171760 = 2457113167359188389
BaseRepresentation
bin1010001010000001111001000…
…1000010011110101011110000
310110201121002111010110211100111
42202200132101002132223300
51222134342413334444020
611012023321501431104
7303354313236220150
oct24240362102365360
93421532433424314
10714715056171760
11197803a53698056
12681b069626b494
13248a54573c90c7
14c86c57129a760
1557965a3650d5a
hex28a079109eaf0

714715056171760 has 320 divisors, whose sum is σ = 1932757695590400. Its totient is φ = 240748506464256.

The previous prime is 714715056171719. The next prime is 714715056171773. The reversal of 714715056171760 is 67171650517417.

It is a happy number.

It is a super-2 number, since 2×7147150561717602 (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 714715056171695 and 714715056171704.

It is a congruent number.

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, 3793731646 + ... + 3793920034.

It is an arithmetic number, because the mean of its divisors is an integer number (6039867798720).

Almost surely, 2714715056171760 is an apocalyptic number.

714715056171760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714715056171760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966378847795200).

714715056171760 is an abundant number, since it is smaller than the sum of its proper divisors (1218042639418640).

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

714715056171760 is a wasteful number, since it uses less digits than its factorization.

714715056171760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189048 (or 189042 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 58.

The spelling of 714715056171760 in words is "seven hundred fourteen trillion, seven hundred fifteen billion, fifty-six million, one hundred seventy-one thousand, seven hundred sixty".