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13326940599120 = 24335377121111131
BaseRepresentation
bin1100000111101110101110…
…0011110111001101010000
31202012001011101220210101000
43001323223203313031100
53221322033243132440
644202151220142000
72543561004006561
oct301735343671520
952161141823330
1013326940599120
114278a18598945
1215b2a25537900
1375895709a525
14341055146168
151819e7095730
hexc1eeb8f7350

13326940599120 has 640 divisors, whose sum is σ = 48039456706560. Its totient is φ = 3392637696000.

The previous prime is 13326940599097. The next prime is 13326940599131. The reversal of 13326940599120 is 2199504962331.

13326940599120 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 6 + 9 + 40 + 599 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1197275955 + ... + 1197287085.

It is an arithmetic number, because the mean of its divisors is an integer number (75061651104).

Almost surely, 213326940599120 is an apocalyptic number.

13326940599120 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 13326940599120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019728353280).

13326940599120 is an abundant number, since it is smaller than the sum of its proper divisors (34712516107440).

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

13326940599120 is a wasteful number, since it uses less digits than its factorization.

13326940599120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11472 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 13326940599120 in words is "thirteen trillion, three hundred twenty-six billion, nine hundred forty million, five hundred ninety-nine thousand, one hundred twenty".