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68839794150625 = 5479242012
BaseRepresentation
bin11111010011100000000110…
…11110100000110011100001
3100000202000112121121222001201
433221300003132200303201
533010332344300310000
6402224322001401201
720333340162441601
oct1751600336406341
9300660477558051
1068839794150625
111aa3087a16a423
127879743939201
132c547459499b4
1412ddc14442c01
157e5a336ce96a
hex3e9c037a0ce1

68839794150625 has 45 divisors (see below), whose sum is σ = 87145622882703. Its totient is φ = 54361780200000.

The previous prime is 68839794150613. The next prime is 68839794150629. The reversal of 68839794150625 is 52605149793886.

The square root of 68839794150625 is 8296975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 68711383728289 + 128410422336 = 8289233^2 + 358344^2 .

It is not a de Polignac number, because 68839794150625 - 25 = 68839794150593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68839794150629) 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, 16386523525 + ... + 16386527725.

It is a 1-persistent number, because it is pandigital, but 2⋅68839794150625 = 137679588301250 is not.

Almost surely, 268839794150625 is an apocalyptic number.

68839794150625 is the 8296975-th square number.

68839794150625 is the 4148488-th centered octagonal number.

It is an amenable number.

68839794150625 is a deficient number, since it is larger than the sum of its proper divisors (18305828732078).

68839794150625 is an frugal number, since it uses more digits than its factorization.

68839794150625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8580 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 73.

The spelling of 68839794150625 in words is "sixty-eight trillion, eight hundred thirty-nine billion, seven hundred ninety-four million, one hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 25 79 125 395 625 1975 4201 6241 9875 21005 31205 49375 105025 156025 331879 525125 780125 1659395 2625625 3900625 8296975 17648401 26218441 41484875 88242005 131092205 207424375 441210025 655461025 1394223679 2206050125 3277305125 6971118395 11030250625 16386525625 34855591975 110143670641 174277959875 550718353205 871389799375 2753591766025 13767958830125 68839794150625