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135849742084 = 227437612
BaseRepresentation
bin111111010000101000…
…1101000111100000100
3110222122121020221012001
41332201101220330010
54211210013221314
6142224123235044
712546324520000
oct1764121507404
9428577227161
10135849742084
1152682701a21
12223b3978a84
13ca6cab1194
14680a363700
1538016ba674
hex1fa1468f04

135849742084 has 45 divisors (see below), whose sum is σ = 277417148981. Its totient is φ = 58205837760.

The previous prime is 135849742073. The next prime is 135849742111. The reversal of 135849742084 is 480247948531.

The square root of 135849742084 is 368578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 60554382084 + 75295360000 = 246078^2 + 274400^2 .

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 14 ways as a sum of consecutive naturals, for example, 36118764 + ... + 36122524.

Almost surely, 2135849742084 is an apocalyptic number.

135849742084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135849742084 is the 368578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135849742084

135849742084 is an abundant number, since it is smaller than the sum of its proper divisors (141567406897).

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

135849742084 is an frugal number, since it uses more digits than its factorization.

135849742084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7554 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 135849742084 in words is "one hundred thirty-five billion, eight hundred forty-nine million, seven hundred forty-two thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 3761 4802 7522 9604 15044 26327 52654 105308 184289 368578 737156 1290023 2580046 5160092 9030161 14145121 18060322 28290242 36120644 56580484 99015847 198031694 396063388 693110929 1386221858 2772443716 4851776503 9703553006 19407106012 33962435521 67924871042 135849742084