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13789412213760 = 210395293467
BaseRepresentation
bin1100100010101001100100…
…0001000100010000000000
31210211020212211212000000000
43020222121001010100000
53301411204011320020
645154434000000000
72622152326612101
oct310523101042000
953736784760000
1013789412213760
114437069783a27
121668592300000
1379044a237101
143595a81403a8
1518da631b2090
hexc8a99044400

13789412213760 has 880 divisors, whose sum is σ = 49892753566656. Its totient is φ = 3656779333632.

The previous prime is 13789412213663. The next prime is 13789412213771. The reversal of 13789412213760 is 6731221498731.

13789412213760 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 9 + 41 + 221 + 376 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13789412213697 and 13789412213706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29527649047 + ... + 29527649513.

Almost surely, 213789412213760 is an apocalyptic number.

13789412213760 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 13789412213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24946376783328).

13789412213760 is an abundant number, since it is smaller than the sum of its proper divisors (36103341352896).

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

13789412213760 is an frugal number, since it uses more digits than its factorization.

13789412213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13789412213760 in words is "thirteen trillion, seven hundred eighty-nine billion, four hundred twelve million, two hundred thirteen thousand, seven hundred sixty".