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20072616942385 = 5731374112195193
BaseRepresentation
bin1001001000001100001010…
…01100111101101100110001
32122001220221012001101121101
410210012011030331230301
510112332204414124020
6110405122151124401
74141125105605110
oct444060514755461
978056835041541
1020072616942385
116439826a76707
12230225a973701
13b27abb953ab7
144d573c645c77
1524c2050c200a
hex12418533db31

20072616942385 has 64 divisors (see below), whose sum is σ = 29895981502464. Its totient is φ = 12643975065600.

The previous prime is 20072616942289. The next prime is 20072616942407. The reversal of 20072616942385 is 58324961627002.

It is a happy number.

It is not a de Polignac number, because 20072616942385 - 229 = 20072080071473 is a prime.

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, 4451652 + ... + 7743541.

It is an arithmetic number, because the mean of its divisors is an integer number (467124710976).

It is a 1-persistent number, because it is pandigital, but 2⋅20072616942385 = 40145233884770 is not.

Almost surely, 220072616942385 is an apocalyptic number.

It is an amenable number.

20072616942385 is a deficient number, since it is larger than the sum of its proper divisors (9823364560079).

20072616942385 is a wasteful number, since it uses less digits than its factorization.

20072616942385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12195314.

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 20072616942385 in words is "twenty trillion, seventy-two billion, six hundred sixteen million, nine hundred forty-two thousand, three hundred eighty-five".

Divisors: 1 5 7 31 35 37 41 155 185 205 217 259 287 1085 1147 1271 1295 1435 1517 5735 6355 7585 8029 8897 10619 40145 44485 47027 53095 235135 329189 1645945 12195193 60975965 85366351 378050983 426831755 451222141 500002913 1890254915 2256110705 2500014565 2646356881 3158554987 3500020391 13231784405 13987886371 15500090303 15792774935 17500101955 18500107781 69939431855 77500451515 92500538905 97915204597 108500632121 129500754467 489576022985 542503160605 573503341211 647503772335 2867516706055 4014523388477 20072616942385