Search a number
-
+
85097581462677 = 37419729785213
BaseRepresentation
bin10011010110010101010011…
…000111010100010010010101
3102011022020201202201001210110
4103112111103013110102111
542123214321323301202
6500553142250313233
723632045253460000
oct2326252307242225
9364266652631713
1085097581462677
1125129755278923
129664593a28819
13386388a659834
141702a600b4537
159c88b3dab26c
hex4d65531d4495

85097581462677 has 80 divisors (see below), whose sum is σ = 139353508269760. Its totient is φ = 46061009842176.

The previous prime is 85097581462667. The next prime is 85097581462679. The reversal of 85097581462677 is 77626418579058.

It is not a de Polignac number, because 85097581462677 - 26 = 85097581462613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85097581462599 and 85097581462608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85097581462679) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 998602923 + ... + 998688135.

It is an arithmetic number, because the mean of its divisors is an integer number (1741918853372).

Almost surely, 285097581462677 is an apocalyptic number.

It is an amenable number.

85097581462677 is a deficient number, since it is larger than the sum of its proper divisors (54255926807083).

85097581462677 is an equidigital number, since it uses as much as digits as its factorization.

85097581462677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92560 (or 92539 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 75.

The spelling of 85097581462677 in words is "eighty-five trillion, ninety-seven billion, five hundred eighty-one million, four hundred sixty-two thousand, six hundred seventy-seven".

Divisors: 1 3 7 19 21 49 57 133 147 343 399 931 1029 2401 2793 6517 7203 7297 19551 21891 45619 51079 85213 136857 138643 153237 255639 357553 415929 596491 970501 1072659 1619047 1789473 2502871 2911503 4175437 4857141 6793507 7508613 11333329 12526311 17520097 20380521 29228059 33999987 47554549 52560291 79333303 87684177 142663647 204596413 237999909 332881843 555333121 613789239 621799261 998645529 1665999363 1865397783 3887331847 4352594827 11661995541 11814185959 13057784481 30468163789 35442557877 82699301713 91404491367 213277146523 248097905139 578895111991 639831439569 1492940025661 1736685335973 4052265783937 4478820076983 12156797351811 28365860487559 85097581462677