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13245889769280 = 26325719127277983
BaseRepresentation
bin1100000011000000110010…
…0011011110111101000000
31201220021221211111000211100
43000300030203132331000
53214010040240104110
644101024443414400
72534661332222250
oct300601443367500
951807854430740
1013245889769280
114247606500853
12159b185824400
1375110b33c50c
1433b1669cb960
1517e851704bc0
hexc0c0c8def40

13245889769280 has 1344 divisors, whose sum is σ = 55496829173760. Its totient is φ = 2832540254208.

The previous prime is 13245889769269. The next prime is 13245889769309. The reversal of 13245889769280 is 8296798854231.

13245889769280 is a `hidden beast` number, since 1 + 3 + 2 + 458 + 8 + 9 + 7 + 6 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13245889769199 and 13245889769208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13474963669 + ... + 13474964651.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13245889769280 = 26491779538560, but 3⋅13245889769280 = 39737669307840 is not.

Almost surely, 213245889769280 is an apocalyptic number.

13245889769280 is a gapful number since it is divisible by the number (10) 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 13245889769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27748414586880).

13245889769280 is an abundant number, since it is smaller than the sum of its proper divisors (42250939404480).

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

13245889769280 is a wasteful number, since it uses less digits than its factorization.

13245889769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 13245889769280 in words is "thirteen trillion, two hundred forty-five billion, eight hundred eighty-nine million, seven hundred sixty-nine thousand, two hundred eighty".