Search a number
-
+
135236332560550 = 25213375623132331
BaseRepresentation
bin11110101111111100101001…
…100100000010000010100110
3122201211110121112112102001011
4132233330221210002002212
5120211203002113414200
61155342414041252434
740325334251116264
oct3657745144020246
9581743545472034
10135236332560550
113a0aa452143431
121320185a19411a
135a5c967c87850
14255768b0cb434
151097c19c925ba
hex7aff299020a6

135236332560550 has 48 divisors (see below), whose sum is σ = 278210095258032. Its totient is φ = 48583863331200.

The previous prime is 135236332560457. The next prime is 135236332560551. The reversal of 135236332560550 is 55065233632531.

It is a super-2 number, since 2×1352363325605502 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135236332560494 and 135236332560503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135236332560551) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2811542116 + ... + 2811590215.

It is an arithmetic number, because the mean of its divisors is an integer number (5796043651209).

Almost surely, 2135236332560550 is an apocalyptic number.

135236332560550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135236332560550 is an abundant number, since it is smaller than the sum of its proper divisors (142973762697482).

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

135236332560550 is a wasteful number, since it uses less digits than its factorization.

135236332560550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623132393 (or 5623132388 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 49.

The spelling of 135236332560550 in words is "one hundred thirty-five trillion, two hundred thirty-six billion, three hundred thirty-two million, five hundred sixty thousand, five hundred fifty".

Divisors: 1 2 5 10 13 25 26 37 50 65 74 130 185 325 370 481 650 925 962 1850 2405 4810 12025 24050 5623132331 11246264662 28115661655 56231323310 73100720303 140578308275 146201440606 208055896247 281156616550 365503601515 416111792494 731007203030 1040279481235 1827518007575 2080558962470 2704726651211 3655036015150 5201397406175 5409453302422 10402794812350 13523633256055 27047266512110 67618166280275 135236332560550