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135661686441536 = 2610919446916061
BaseRepresentation
bin11110110110001000110010…
…101000010100011001000000
3122210100010112011220101022002
4132312020302220110121000
5120240140113212112121
61200310041323203132
740401143025341543
oct3666106250243100
9583303464811262
10135661686441536
113a253886337882
12132701883764a8
135a90ac4243c18
1425700bc63485a
1510a3d12461e0b
hex7b6232a14640

135661686441536 has 28 divisors (see below), whose sum is σ = 271673417386140. Its totient is φ = 67208541903360.

The previous prime is 135661686441529. The next prime is 135661686441551. The reversal of 135661686441536 is 635144686166531.

It can be written as a sum of positive squares in 2 ways, for example, as 78961991235136 + 56699695206400 = 8886056^2 + 7529920^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9723451055 + ... + 9723465006.

It is an arithmetic number, because the mean of its divisors is an integer number (9702622049505).

Almost surely, 2135661686441536 is an apocalyptic number.

135661686441536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135661686441536 is an abundant number, since it is smaller than the sum of its proper divisors (136011730944604).

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

135661686441536 is a wasteful number, since it uses less digits than its factorization.

135661686441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19446916182 (or 19446916172 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 65.

The spelling of 135661686441536 in words is "one hundred thirty-five trillion, six hundred sixty-one billion, six hundred eighty-six million, four hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 109 218 436 872 1744 3488 6976 19446916061 38893832122 77787664244 155575328488 311150656976 622301313952 1244602627904 2119713850649 4239427701298 8478855402596 16957710805192 33915421610384 67830843220768 135661686441536