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135677425540 = 2258218262937
BaseRepresentation
bin111111001011100000…
…0010011011110000100
3110222012121000100022211
41332113000103132010
54210331410104130
6142155050033204
712542133042256
oct1762700233604
9428177010284
10135677425540
11525a4407a58
1222366118804
13ca4319a627
1467d1509cd6
1537e14cda2a
hex1f97013784

135677425540 has 24 divisors (see below), whose sum is σ = 285269671512. Its totient is φ = 54204860160.

The previous prime is 135677425529. The next prime is 135677425553. The reversal of 135677425540 is 45524776531.

135677425540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16137129024 + 119540296516 = 127032^2 + 345746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4115049 + ... + 4147888.

It is an arithmetic number, because the mean of its divisors is an integer number (11886236313).

Almost surely, 2135677425540 is an apocalyptic number.

135677425540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135677425540 is an abundant number, since it is smaller than the sum of its proper divisors (149592245972).

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

135677425540 is a wasteful number, since it uses less digits than its factorization.

135677425540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263767 (or 8263765 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 49.

The spelling of 135677425540 in words is "one hundred thirty-five billion, six hundred seventy-seven million, four hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 821 1642 3284 4105 8210 16420 8262937 16525874 33051748 41314685 82629370 165258740 6783871277 13567742554 27135485108 33919356385 67838712770 135677425540