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13065371280 = 243651319907
BaseRepresentation
bin11000010101100000…
…11011111010010000
31020201112210122000000
430022300123322100
5203224213340110
610000244130000
7641525552313
oct141260337220
936645718000
1013065371280
1155a5074905
122647696900
131302aac730
148bd30497a
155170661c0
hex30ac1be90

13065371280 has 560 divisors, whose sum is σ = 51686483520. Its totient is φ = 3043464192.

The previous prime is 13065371273. The next prime is 13065371287. The reversal of 13065371280 is 8217356031.

13065371280 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 5 + 371 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (13065371273) and next prime (13065371287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13065371287) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14404587 + ... + 14405493.

It is an arithmetic number, because the mean of its divisors is an integer number (92297292).

Almost surely, 213065371280 is an apocalyptic number.

13065371280 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 13065371280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25843241760).

13065371280 is an abundant number, since it is smaller than the sum of its proper divisors (38621112240).

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

13065371280 is a wasteful number, since it uses less digits than its factorization.

13065371280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13065371280 in words is "thirteen billion, sixty-five million, three hundred seventy-one thousand, two hundred eighty".