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90581989914 = 23213229777117
BaseRepresentation
bin101010001011100011…
…0110111101000011010
322122210210222212012100
41110113012313220122
52441002442134124
6105340210224230
76354464132103
oct1242706675032
9278723885170
1090581989914
1135463198799
121567b885076
138707583400
1445543173aa
1525524dd1c9
hex15171b7a1a

90581989914 has 36 divisors (see below), whose sum is σ = 212519291166. Its totient is φ = 27871380576.

The previous prime is 90581989909. The next prime is 90581989919. The reversal of 90581989914 is 41998918509.

It is an interprime number because it is at equal distance from previous prime (90581989909) and next prime (90581989919).

It can be written as a sum of positive squares in 3 ways, for example, as 31423589289 + 59158400625 = 177267^2 + 243225^2 .

It is not an unprimeable number, because it can be changed into a prime (90581989919) 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 17 ways as a sum of consecutive naturals, for example, 14885517 + ... + 14891600.

Almost surely, 290581989914 is an apocalyptic number.

90581989914 is an abundant number, since it is smaller than the sum of its proper divisors (121937301252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90581989914 is a wasteful number, since it uses less digits than its factorization.

90581989914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29777151 (or 29777135 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 90581989914 in words is "ninety billion, five hundred eighty-one million, nine hundred eighty-nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 29777117 59554234 89331351 178662702 267994053 387102521 535988106 774205042 1161307563 2322615126 3483922689 5032332773 6967845378 10064665546 15096998319 30193996638 45290994957 90581989914