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135020235504 = 24371136531449
BaseRepresentation
bin111110110111111010…
…1010100101011110000
3110220111210101122002010
41331233311110223300
54203010140014004
6142005532122520
712516633031320
oct1755765245360
9426453348063
10135020235504
11522974483a0
1222202006440
13c969c99a9b
14676c117280
1537a3965a89
hex1f6fd54af0

135020235504 has 80 divisors (see below), whose sum is σ = 434870380800. Its totient is φ = 35070190080.

The previous prime is 135020235499. The next prime is 135020235523. The reversal of 135020235504 is 405532020531.

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 15 ways as a sum of consecutive naturals, for example, 18262029 + ... + 18269420.

It is an arithmetic number, because the mean of its divisors is an integer number (5435879760).

Almost surely, 2135020235504 is an apocalyptic number.

135020235504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135020235504 is an abundant number, since it is smaller than the sum of its proper divisors (299850145296).

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

135020235504 is a wasteful number, since it uses less digits than its factorization.

135020235504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36531478 (or 36531472 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 135020235504 in words is "one hundred thirty-five billion, twenty million, two hundred thirty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 36531449 73062898 109594347 146125796 219188694 255720143 292251592 401845939 438377388 511440286 584503184 767160429 803691878 876754776 1022880572 1205537817 1534320858 1607383756 1753509552 2045761144 2411075634 2812921573 3068641716 3214767512 4091522288 4822151268 5625843146 6137283432 6429535024 8438764719 9644302536 11251686292 12274566864 16877529438 19288605072 22503372584 33755058876 45006745168 67510117752 135020235504