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135643213524 = 223713199762201
BaseRepresentation
bin111111001010011110…
…1110010111011010100
3110222010012122012021010
41332110331302323110
54210244130313044
6142151424452220
712541236201630
oct1762475627324
9428105565233
10135643213524
115258706aa65
122235677a070
13ca3907c430
1467cab61dc0
1537dd4c1bb9
hex1f94f72ed4

135643213524 has 96 divisors (see below), whose sum is σ = 389740813056. Its totient is φ = 35755545600.

The previous prime is 135643213487. The next prime is 135643213553. The reversal of 135643213524 is 425312346531.

135643213524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 2149624 + ... + 2211824.

It is an arithmetic number, because the mean of its divisors is an integer number (4059800136).

Almost surely, 2135643213524 is an apocalyptic number.

135643213524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135643213524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194870406528).

135643213524 is an abundant number, since it is smaller than the sum of its proper divisors (254097599532).

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

135643213524 is a wasteful number, since it uses less digits than its factorization.

135643213524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64225 (or 64223 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The spelling of 135643213524 in words is "one hundred thirty-five billion, six hundred forty-three million, two hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1997 3994 5991 7988 11982 13979 23964 25961 27958 41937 51922 55916 62201 77883 83874 103844 124402 155766 167748 181727 186603 248804 311532 363454 373206 435407 545181 726908 746412 808613 870814 1090362 1306221 1617226 1741628 2180724 2425839 2612442 3234452 4851678 5224884 5660291 9703356 11320582 16980873 22641164 33961746 67923492 124215397 248430794 372646191 496861588 745292382 869507779 1490584764 1614800161 1739015558 2608523337 3229600322 3478031116 4844400483 5217046674 6459200644 9688800966 10434093348 11303601127 19377601932 22607202254 33910803381 45214404508 67821606762 135643213524