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135505444545 = 3257613956941
BaseRepresentation
bin111111000110011000…
…0001111111011000001
3110221202121101210202100
41332030300033323001
54210003343211140
6142130023541013
712534644163042
oct1761460177301
9427677353670
10135505444545
11525163220a9
12223185ba769
13ca16673723
1467b673c8c9
1537d135b530
hex1f8cc0fec1

135505444545 has 24 divisors (see below), whose sum is σ = 235184804712. Its totient is φ = 72174585600.

The previous prime is 135505444531. The next prime is 135505444549. The reversal of 135505444545 is 545444505531.

135505444545 is a `hidden beast` number, since 1 + 3 + 5 + 50 + 54 + 4 + 4 + 545 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1830385089 + 133675059456 = 42783^2 + 365616^2 .

It is not a de Polignac number, because 135505444545 - 25 = 135505444513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135505444545.

It is not an unprimeable number, because it can be changed into a prime (135505444549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1944226 + ... + 2012715.

It is an arithmetic number, because the mean of its divisors is an integer number (9799366863).

Almost surely, 2135505444545 is an apocalyptic number.

135505444545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135505444545 is a deficient number, since it is larger than the sum of its proper divisors (99679360167).

135505444545 is a wasteful number, since it uses less digits than its factorization.

135505444545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957713 (or 3957710 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 135505444545 in words is "one hundred thirty-five billion, five hundred five million, four hundred forty-four thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 761 2283 3805 6849 11415 34245 3956941 11870823 19784705 35612469 59354115 178062345 3011232101 9033696303 15056160505 27101088909 45168481515 135505444545