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135404880500 = 2253270809761
BaseRepresentation
bin111111000011011000…
…0101000001001110100
3110221111121011121211002
41332012300220021310
54204302122134000
6142112032302432
712532313331311
oct1760660501164
9427447147732
10135404880500
115247458591a
12222aa9a1a18
13c9cb893286
1467a7241d08
1537c75e48d5
hex1f86c28274

135404880500 has 24 divisors (see below), whose sum is σ = 295724260104. Its totient is φ = 54161952000.

The previous prime is 135404880469. The next prime is 135404880547. The reversal of 135404880500 is 5088404531.

It can be written as a sum of positive squares in 4 ways, for example, as 34785234064 + 100619646436 = 186508^2 + 317206^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135404381 + ... + 135405380.

It is an arithmetic number, because the mean of its divisors is an integer number (12321844171).

Almost surely, 2135404880500 is an apocalyptic number.

135404880500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135404880500 is an abundant number, since it is smaller than the sum of its proper divisors (160319379604).

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

135404880500 is a wasteful number, since it uses less digits than its factorization.

135404880500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270809780 (or 270809768 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 135404880500 in words is "one hundred thirty-five billion, four hundred four million, eight hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 270809761 541619522 1083239044 1354048805 2708097610 5416195220 6770244025 13540488050 27080976100 33851220125 67702440250 135404880500