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135054065064 = 23331787923039
BaseRepresentation
bin111110111000111011…
…0010111110110101000
3110220121011001100111210
41331301312113312220
54203042320040224
6142013141153120
712520523416632
oct1756166276650
9426534040453
10135054065064
1152304554006
12222113bb7a0
13c973cb2b89
146772801a52
1537a68e9429
hex1f71d97da8

135054065064 has 64 divisors (see below), whose sum is σ = 348585984000. Its totient is φ = 43558407360.

The previous prime is 135054065059. The next prime is 135054065077. The reversal of 135054065064 is 460560450531.

It is a super-2 number, since 2×1350540650642 (a number of 23 digits) contains 22 as substring.

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, 5850457 + ... + 5873495.

It is an arithmetic number, because the mean of its divisors is an integer number (5446656000).

Almost surely, 2135054065064 is an apocalyptic number.

It is an amenable number.

135054065064 is an abundant number, since it is smaller than the sum of its proper divisors (213531918936).

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

135054065064 is a wasteful number, since it uses less digits than its factorization.

135054065064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30958 (or 30954 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 135054065064 in words is "one hundred thirty-five billion, fifty-four million, sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 7879 15758 23039 23637 31516 46078 47274 63032 69117 92156 94548 138234 184312 189096 244249 276468 488498 552936 714209 732747 976996 1428418 1465494 1953992 2142627 2856836 2930988 4285254 5713672 5861976 8570508 17141016 181524281 363048562 544572843 726097124 1089145686 1452194248 2178291372 4356582744 5627252711 11254505422 16881758133 22509010844 33763516266 45018021688 67527032532 135054065064