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135084238576 = 2473457348889
BaseRepresentation
bin111110111001110100…
…1011110011011110000
3110220200020211022210021
41331303221132123300
54203123031113301
6142020140013224
712521341040230
oct1756351363360
9426606738707
10135084238576
115231a5928a1
122221b531214
13c97a318b21
146776817cc0
1537a93a98a1
hex1f73a5e6f0

135084238576 has 40 divisors (see below), whose sum is σ = 299202481760. Its totient is φ = 57876332544.

The previous prime is 135084238529. The next prime is 135084238613. The reversal of 135084238576 is 675832480531.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 212740 + ... + 561628.

It is an arithmetic number, because the mean of its divisors is an integer number (7480062044).

Almost surely, 2135084238576 is an apocalyptic number.

135084238576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135084238576 is an abundant number, since it is smaller than the sum of its proper divisors (164118243184).

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

135084238576 is a wasteful number, since it uses less digits than its factorization.

135084238576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352361 (or 352355 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 135084238576 in words is "one hundred thirty-five billion, eighty-four million, two hundred thirty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 3457 6914 13828 24199 27656 48398 55312 96796 193592 348889 387184 697778 1395556 2442223 2791112 4884446 5582224 9768892 19537784 39075568 1206109273 2412218546 4824437092 8442764911 9648874184 16885529822 19297748368 33771059644 67542119288 135084238576