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11085083837377 = 1125133117416967
BaseRepresentation
bin1010000101001111001001…
…1111000000001111000001
31110020201112112220110010121
42201103302133000033001
52423104222430244002
635324230041300241
72222604465650254
oct241236237001701
943221475813117
1011085083837377
113594180925290
1212b0444194681
1362541b88c664
142a474159709b
15143536140237
hexa14f27c03c1

11085083837377 has 32 divisors (see below), whose sum is σ = 12186420599808. Its totient is φ = 9999693000000.

The previous prime is 11085083837369. The next prime is 11085083837417. The reversal of 11085083837377 is 77373838058011.

It is not a de Polignac number, because 11085083837377 - 23 = 11085083837369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11085083837077) 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 31 ways as a sum of consecutive naturals, for example, 1591080748 + ... + 1591087714.

It is an arithmetic number, because the mean of its divisors is an integer number (380825643744).

Almost surely, 211085083837377 is an apocalyptic number.

It is an amenable number.

11085083837377 is a deficient number, since it is larger than the sum of its proper divisors (1101336762431).

11085083837377 is a wasteful number, since it uses less digits than its factorization.

11085083837377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301.

The product of its (nonzero) digits is 23708160, while the sum is 61.

The spelling of 11085083837377 in words is "eleven trillion, eighty-five billion, eighty-three million, eight hundred thirty-seven thousand, three hundred seventy-seven".

Divisors: 1 11 251 331 1741 2761 3641 6967 19151 76637 83081 436991 576271 913891 1748717 2306077 4806901 6338981 12129547 19235887 25366847 133425017 144644021 578825327 1591084231 3044516297 4014880057 6367078597 33489679267 44163680627 1007734894307 11085083837377