Search a number
-
+
61682676227325 = 355229350121619
BaseRepresentation
bin11100000011001100111100…
…00000010101110011111101
322002101210202202120111200000
432001212132000111303331
531041102110103233300
6335104344045424513
715664266135036216
oct1601463600256375
9262353682514600
1061682676227325
111872152673689a
126b0262356b139
1328558611bb3aa
1411336593a440d
1571e794591c00
hex38199e015cfd

61682676227325 has 72 divisors (see below), whose sum is σ = 118523170802400. Its totient is φ = 31763033184960.

The previous prime is 61682676227323. The next prime is 61682676227353. The reversal of 61682676227325 is 52372267628616.

61682676227325 is a `hidden beast` number, since 6 + 1 + 6 + 82 + 6 + 7 + 6 + 227 + 325 = 666.

61682676227325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61682676227325 - 21 = 61682676227323 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61682676227323) 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 71 ways as a sum of consecutive naturals, for example, 174884635 + ... + 175236984.

Almost surely, 261682676227325 is an apocalyptic number.

It is an amenable number.

61682676227325 is a deficient number, since it is larger than the sum of its proper divisors (56840494575075).

61682676227325 is a wasteful number, since it uses less digits than its factorization.

61682676227325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350121673 (or 350121656 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 61682676227325 in words is "sixty-one trillion, six hundred eighty-two billion, six hundred seventy-six million, two hundred twenty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 243 261 405 435 675 725 783 1215 1305 2025 2175 2349 3915 6075 6525 7047 11745 19575 35235 58725 176175 350121619 1050364857 1750608095 3151094571 5251824285 8753040475 9453283713 10153526951 15755472855 26259121425 28359851139 30460580853 47266418565 50767634755 78777364275 85079553417 91381742559 141799255695 152302904265 236332092825 253838173775 274145227677 425397767085 456908712795 708996278475 761514521325 822435683031 1370726138385 2126988835425 2284543563975 2467307049093 4112178415155 6853630691925 12336535245465 20560892075775 61682676227325