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135034310624 = 2531672031691
BaseRepresentation
bin111110111000010101…
…1000000111111100000
3110220112202212201111212
41331300223000333200
54203022240414444
6142011153525252
712520163462543
oct1756053007740
9426482781455
10135034310624
11522a4391224
1222206873828
13c96cb87465
14676dd3c85a
1537a4ce619e
hex1f70ac0fe0

135034310624 has 48 divisors (see below), whose sum is σ = 278520592896. Its totient is φ = 64363939200.

The previous prime is 135034310599. The next prime is 135034310641. The reversal of 135034310624 is 426013430531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949382 + ... + 1082309.

It is an arithmetic number, because the mean of its divisors is an integer number (5802512352).

Almost surely, 2135034310624 is an apocalyptic number.

It is an amenable number.

135034310624 is an abundant number, since it is smaller than the sum of its proper divisors (143486282272).

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

135034310624 is a wasteful number, since it uses less digits than its factorization.

135034310624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031799 (or 2031791 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 135034310624 in words is "one hundred thirty-five billion, thirty-four million, three hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 248 268 496 536 992 1072 2077 2144 4154 8308 16616 33232 66464 2031691 4063382 8126764 16253528 32507056 62982421 65014112 125964842 136123297 251929684 272246594 503859368 544493188 1007718736 1088986376 2015437472 2177972752 4219822207 4355945504 8439644414 16879288828 33758577656 67517155312 135034310624