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713988273272481 = 34892333592
BaseRepresentation
bin1010001001010111100101100…
…1011001101111011010100001
310110122000121112101020011210000
42202111321121121233122201
51222040440440424204411
611010305403513530213
7303250644002420154
oct24225713131573241
93418017471204700
10713988273272481
111975537a9698859
12680b3864113969
1324851a6124248c
14c845306d07c9b
1557827180e9956
hex2895e5966f6a1

713988273272481 has 45 divisors (see below), whose sum is σ = 1078726052944771. Its totient is φ = 470629846960416.

The previous prime is 713988273272479. The next prime is 713988273272489. The reversal of 713988273272481 is 184272372889317.

The square root of 713988273272481 is 26720559.

It is a perfect power (a square), and thus also a powerful number.

713988273272481 is a `hidden beast` number, since 7 + 1 + 3 + 9 + 8 + 8 + 2 + 73 + 2 + 72 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 137100891762081 + 576887381510400 = 11709009^2 + 24018480^2 .

It is not a de Polignac number, because 713988273272481 - 21 = 713988273272479 is a prime.

It is a super-3 number, since 3×7139882732724813 (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (713988273272489) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21403151080 + ... + 21403184438.

Almost surely, 2713988273272481 is an apocalyptic number.

713988273272481 is the 26720559-th square number.

713988273272481 is the 13360280-th centered octagonal number.

It is an amenable number.

713988273272481 is a deficient number, since it is larger than the sum of its proper divisors (364737779672290).

713988273272481 is an frugal number, since it uses more digits than its factorization.

713988273272481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66908 (or 33451 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 713988273272481 in words is "seven hundred thirteen trillion, nine hundred eighty-eight billion, two hundred seventy-three million, two hundred seventy-two thousand, four hundred eighty-one".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 7921 23763 33359 71289 100077 213867 300231 641601 900693 2702079 2968951 8906853 26720559 80161677 240485031 264236639 792709917 1112822881 2378129751 3338468643 7134389253 10015405929 21403167759 30046217787 90138653361 99041236409 297123709227 891371127681 2674113383043 8022340149129 8814670040401 26444010121203 79332030363609 237996091090827 713988273272481