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90516019189 = 1729379751157
BaseRepresentation
bin101010001001100101…
…1001101011111110101
322122122012212012101011
41110103023031133311
52440334100103224
6105325452232221
76353033316451
oct1242313153765
9278565765334
1090516019189
1135429a29a32
121566176b671
1386c69c588b
144549663661
15254b80b394
hex15132cd7f5

90516019189 has 32 divisors (see below), whose sum is σ = 102876691680. Its totient is φ = 79204220928.

The previous prime is 90516019169. The next prime is 90516019193. The reversal of 90516019189 is 98191061509.

It can be written as a sum of positive squares in 16 ways, for example, as 9072562500 + 81443456689 = 95250^2 + 285383^2 .

It is not a de Polignac number, because 90516019189 - 223 = 90507630581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90516019159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743799 + ... + 1794955.

It is an arithmetic number, because the mean of its divisors is an integer number (3214896615).

Almost surely, 290516019189 is an apocalyptic number.

It is an amenable number.

90516019189 is a deficient number, since it is larger than the sum of its proper divisors (12360672491).

90516019189 is a wasteful number, since it uses less digits than its factorization.

90516019189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51337.

The product of its (nonzero) digits is 174960, while the sum is 49.

The spelling of 90516019189 in words is "ninety billion, five hundred sixteen million, nineteen thousand, one hundred eighty-nine".

Divisors: 1 17 29 37 97 493 629 1073 1649 2813 3589 18241 47821 51157 61013 104081 869669 1483553 1769377 1892809 4962229 25220401 32177753 54891461 84357893 143904641 183602473 933154837 2446378897 3121242041 5324471717 90516019189