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13146701451200 = 2652292473114571
BaseRepresentation
bin1011111101001111010001…
…1110000100111111000000
31201112210221020011101211222
42333103310132010333000
53210343421032414300
643543302233454212
72524550342353322
oct277236436047700
951483836141758
1013146701451200
114209537265359
121583b03871368
13744961a42c45
14336437697612
1517be9889d785
hexbf4f4784fc0

13146701451200 has 168 divisors, whose sum is σ = 33478412728080. Its totient is φ = 5075249356800.

The previous prime is 13146701451199. The next prime is 13146701451209. The reversal of 13146701451200 is 215410764131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13146701451209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114689915 + ... + 114804485.

Almost surely, 213146701451200 is an apocalyptic number.

13146701451200 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 13146701451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16739206364040).

13146701451200 is an abundant number, since it is smaller than the sum of its proper divisors (20331711276880).

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

13146701451200 is a wasteful number, since it uses less digits than its factorization.

13146701451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117095 (or 117080 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 13146701451200 in words is "thirteen trillion, one hundred forty-six billion, seven hundred one million, four hundred fifty-one thousand, two hundred".