Search a number
-
+
135617714330 = 2574167705277
BaseRepresentation
bin111111001001101110…
…0100001100010011010
3110222001102122200221112
41332103130201202122
54210221113324310
6142145114140322
712540506360150
oct1762334414232
9428042580845
10135617714330
115257373404a
122234a1216a2
13ca339c1c57
1467c76053d0
1537db136705
hex1f9372189a

135617714330 has 64 divisors (see below), whose sum is σ = 290055451392. Its totient is φ = 44686287360.

The previous prime is 135617714329. The next prime is 135617714333. The reversal of 135617714330 is 33417716531.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (135617714333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160349 + ... + 544928.

It is an arithmetic number, because the mean of its divisors is an integer number (4532116428).

Almost surely, 2135617714330 is an apocalyptic number.

135617714330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135617714330 is an abundant number, since it is smaller than the sum of its proper divisors (154437737062).

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

135617714330 is a wasteful number, since it uses less digits than its factorization.

135617714330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705399.

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 135617714330 in words is "one hundred thirty-five billion, six hundred seventeen million, seven hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 67 70 82 134 205 287 335 410 469 574 670 938 1435 2345 2747 2870 4690 5494 13735 19229 27470 38458 96145 192290 705277 1410554 3526385 4936939 7052770 9873878 24684695 28916357 47253559 49369390 57832714 94507118 144581785 202414499 236267795 289163570 330774913 404828998 472535590 661549826 1012072495 1653874565 1937395919 2024144990 3307749130 3874791838 9686979595 13561771433 19373959190 27123542866 67808857165 135617714330