Search a number
-
+
13243195293552 = 2436717219109271
BaseRepresentation
bin1100000010110110101111…
…1100110111111101110000
31201220001000001100111000000
43000231223330313331300
53213434030443343202
644055501231430000
72534534503445010
oct300555374677560
951801001314000
1013243195293552
114246453548304
12159a753385300
13750a9c03b393
1433ad8cbd5c40
1517e744db191c
hexc0b6bf37f70

13243195293552 has 1680 divisors, whose sum is σ = 49796842163200. Its totient is φ = 3330476974080.

The previous prime is 13243195293521. The next prime is 13243195293557. The reversal of 13243195293552 is 25539259134231.

13243195293552 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 31 + 9 + 52 + 9 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243195293557) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 48867879177 + ... + 48867879447.

Almost surely, 213243195293552 is an apocalyptic number.

13243195293552 is a gapful number since it is divisible by the number (12) 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 13243195293552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24898421081600).

13243195293552 is an abundant number, since it is smaller than the sum of its proper divisors (36553646869648).

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

13243195293552 is a wasteful number, since it uses less digits than its factorization.

13243195293552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 428 counting only the distinct ones).

The product of its digits is 8748000, while the sum is 54.

The spelling of 13243195293552 in words is "thirteen trillion, two hundred forty-three billion, one hundred ninety-five million, two hundred ninety-three thousand, five hundred fifty-two".