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2085275777157 = 3517349603363
BaseRepresentation
bin11110010110000100000…
…111110011100010000101
321101100110110021011200000
4132112010013303202011
5233131121044332112
64233543520511513
7303441035436126
oct36260407634205
97340413234600
102085275777157
117343a68a4381
1229818277b599
131218436c4301
1472cdc19604d
15393997297dc
hex1e5841f3885

2085275777157 has 24 divisors (see below), whose sum is σ = 3141678662304. Its totient is φ = 1382148078768.

The previous prime is 2085275777131. The next prime is 2085275777177. The reversal of 2085275777157 is 7517775725802.

2085275777157 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 2 + 7 + 577 + 7 + 1 + 57 = 666.

It is not a de Polignac number, because 2085275777157 - 215 = 2085275744389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2085275777094 and 2085275777103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085275777177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24759643 + ... + 24843720.

It is an arithmetic number, because the mean of its divisors is an integer number (130903277596).

Almost surely, 22085275777157 is an apocalyptic number.

2085275777157 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2085275777157 is a deficient number, since it is larger than the sum of its proper divisors (1056402885147).

2085275777157 is an equidigital number, since it uses as much as digits as its factorization.

2085275777157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49603551 (or 49603539 counting only the distinct ones).

The product of its (nonzero) digits is 67228000, while the sum is 63.

The spelling of 2085275777157 in words is "two trillion, eighty-five billion, two hundred seventy-five million, seven hundred seventy-seven thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 81 173 243 519 1557 4671 14013 42039 49603363 148810089 446430267 1339290801 4017872403 8581381799 12053617209 25744145397 77232436191 231697308573 695091925719 2085275777157