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135762086821 = 2359547182899
BaseRepresentation
bin111111001110000001…
…1010000101110100101
3110222102111022120202211
41332130003100232211
54211020043234241
6142211312403421
712544211461204
oct1763403205645
9428374276684
10135762086821
1152638182259
122238a546571
13ca578a056a
1467dc86723b
1537e8b53781
hex1f9c0d0ba5

135762086821 has 16 divisors (see below), whose sum is σ = 144330048000. Its totient is φ = 127424305008.

The previous prime is 135762086797. The next prime is 135762086857. The reversal of 135762086821 is 128680267531.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135762086821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135762086881) 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 15 ways as a sum of consecutive naturals, for example, 650830 + ... + 833728.

It is an arithmetic number, because the mean of its divisors is an integer number (9020628000).

Almost surely, 2135762086821 is an apocalyptic number.

It is an amenable number.

135762086821 is a deficient number, since it is larger than the sum of its proper divisors (8567961179).

135762086821 is a wasteful number, since it uses less digits than its factorization.

135762086821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183528.

The product of its (nonzero) digits is 967680, while the sum is 49.

It can be divided in two parts, 1357620 and 86821, that added together give a palindrome (1444441).

The spelling of 135762086821 in words is "one hundred thirty-five billion, seven hundred sixty-two million, eighty-six thousand, eight hundred twenty-one".

Divisors: 1 23 59 547 1357 12581 32273 182899 742279 4206677 10791041 100045753 248193943 2301052319 5902699427 135762086821