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135337867527348 = 22344110188035797
BaseRepresentation
bin11110110001011011001101…
…100001001100010010110100
3122202012011200200111010220000
4132301123031201030102310
5120214333423041333343
61155501205200111300
740335560344105533
oct3661331541142264
9582164620433800
10135337867527348
113a139515a71832
1213219476005530
135a693c97b0165
14255c55dd5431a
15109a6adb31ed3
hex7b16cd84c4b4

135337867527348 has 60 divisors (see below), whose sum is σ = 362429185478052. Its totient is φ = 44012314638720.

The previous prime is 135337867527287. The next prime is 135337867527367. The reversal of 135337867527348 is 843725768733531.

135337867527348 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 3 + 7 + 8 + 67 + 527 + 34 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20035757681424 + 115302109845924 = 4476132^2 + 10737882^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5094004615 + ... + 5094031182.

Almost surely, 2135337867527348 is an apocalyptic number.

135337867527348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135337867527348 is an abundant number, since it is smaller than the sum of its proper divisors (227091317950704).

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

135337867527348 is a wasteful number, since it uses less digits than its factorization.

135337867527348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188035854 (or 10188035843 counting only the distinct ones).

The product of its digits is 2133734400, while the sum is 72.

The spelling of 135337867527348 in words is "one hundred thirty-five trillion, three hundred thirty-seven billion, eight hundred sixty-seven million, five hundred twenty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 10188035797 20376071594 30564107391 40752143188 61128214782 91692322173 122256429564 183384644346 275076966519 366769288692 417709467677 550153933038 825230899557 835418935354 1100307866076 1253128403031 1650461799114 1670837870708 2506256806062 3300923598228 3759385209093 5012513612124 7518770418186 11278155627279 15037540836372 22556311254558 33834466881837 45112622509116 67668933763674 135337867527348