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13420656069120 = 29325809821877
BaseRepresentation
bin1100001101001011110101…
…1100000000101000000000
31202112000001121002221011100
43003102331130000220000
53224341000423202440
644313210404014400
72553416240241306
oct303227534005000
952460047087140
1013420656069120
1143047395255a3
12160901a691400
1376474089b961
143457c5690276
1518417e6e2230
hexc34bd700a00

13420656069120 has 480 divisors, whose sum is σ = 46646771268240. Its totient is φ = 3565993328640.

The previous prime is 13420656069049. The next prime is 13420656069181. The reversal of 13420656069120 is 2196065602431.

13420656069120 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 0 + 6 + 560 + 69 + 1 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9519051407616 + 3901604661504 = 3085296^2 + 1975248^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×134206560691202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15302914122 + ... + 15302914998.

Almost surely, 213420656069120 is an apocalyptic number.

13420656069120 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 13420656069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23323385634120).

13420656069120 is an abundant number, since it is smaller than the sum of its proper divisors (33226115199120).

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

13420656069120 is an equidigital number, since it uses as much as digits as its factorization.

13420656069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13420656069120 in words is "thirteen trillion, four hundred twenty billion, six hundred fifty-six million, sixty-nine thousand, one hundred twenty".