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90171017109 = 3217589353053
BaseRepresentation
bin101001111111010011…
…1001000011110010101
322121202011200021111100
41103332213020132111
52434132240021414
6105231325500313
76341343666465
oct1237647103625
9277664607440
1090171017109
1135272208848
1215586111699
13867039c534
1445158d7ba5
15252b3ad609
hex14fe9c8795

90171017109 has 12 divisors (see below), whose sum is σ = 137908614636. Its totient is φ = 56577892992.

The previous prime is 90171017089. The next prime is 90171017117.

90171017109 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 67355820900 + 22815196209 = 259530^2 + 151047^2 .

It is not a de Polignac number, because 90171017109 - 28 = 90171016853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90171017119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294676374 + ... + 294676679.

It is an arithmetic number, because the mean of its divisors is an integer number (11492384553).

Almost surely, 290171017109 is an apocalyptic number.

It is an amenable number.

90171017109 is a deficient number, since it is larger than the sum of its proper divisors (47737597527).

90171017109 is a wasteful number, since it uses less digits than its factorization.

90171017109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589353076 (or 589353073 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 36.

It can be divided in two parts, 901710 and 17109, that added together give a palindrome (918819).

The spelling of 90171017109 in words is "ninety billion, one hundred seventy-one million, seventeen thousand, one hundred nine".

Divisors: 1 3 9 17 51 153 589353053 1768059159 5304177477 10019001901 30057005703 90171017109