Search a number
-
+
13494297420800 = 210527312127617
BaseRepresentation
bin1100010001011110001011…
…0011011110010000000000
31202210001010210022012110222
43010113202303132100000
53232042310114431200
644411110013442212
72561634161350520
oct304274263362000
952701123265428
1013494297420800
11433299910a019
12161b350aa0368
1376b678544271
143491adb3b680
1518603e831d85
hexc45e2cde400

13494297420800 has 792 divisors, whose sum is σ = 39876516882432. Its totient is φ = 4434916147200.

The previous prime is 13494297420787. The next prime is 13494297420803. The reversal of 13494297420800 is 802479249431.

It is not an unprimeable number, because it can be changed into a prime (13494297420803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21870822092 + ... + 21870822708.

Almost surely, 213494297420800 is an apocalyptic number.

13494297420800 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 13494297420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19938258441216).

13494297420800 is an abundant number, since it is smaller than the sum of its proper divisors (26382219461632).

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

13494297420800 is a wasteful number, since it uses less digits than its factorization.

13494297420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 13494297420800 in words is "thirteen trillion, four hundred ninety-four billion, two hundred ninety-seven million, four hundred twenty thousand, eight hundred".