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90610856141 = 1353117131221
BaseRepresentation
bin101010001100011010…
…0111111000011001101
322122212211022102012212
41110120310333003031
52441032334344031
6105343121040205
76355264366151
oct1243064770315
9278784272185
1090610856141
1135478514383
1215689486065
13871054c310
1445580ad061
152554ce112b
hex1518d3f0cd

90610856141 has 8 divisors (see below), whose sum is σ = 97583502744. Its totient is φ = 83638578240.

The previous prime is 90610856081. The next prime is 90610856153. The reversal of 90610856141 is 14165801609.

It can be written as a sum of positive squares in 4 ways, for example, as 45435054025 + 45175802116 = 213155^2 + 212546^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90610856141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90610856191) 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 7 ways as a sum of consecutive naturals, for example, 624911 + ... + 756131.

It is an arithmetic number, because the mean of its divisors is an integer number (12197937843).

Almost surely, 290610856141 is an apocalyptic number.

It is an amenable number.

90610856141 is a deficient number, since it is larger than the sum of its proper divisors (6972646603).

90610856141 is a wasteful number, since it uses less digits than its factorization.

90610856141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184351.

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 90610856141 in words is "ninety billion, six hundred ten million, eight hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 13 53117 131221 690521 1705873 6970065857 90610856141