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13326931149840 = 243257111232319507
BaseRepresentation
bin1100000111101110101011…
…1111110100010000010000
31202012001010202010201101200
43001323222333310100100
53221322023333243330
644202150241431200
72543560530462630
oct301735277642020
952161122121350
1013326931149840
114278a13224520
1215b2a2233b500
1375895513c539
14341053ba66c0
151819e632aa60
hexc1eeaff4410

13326931149840 has 480 divisors, whose sum is σ = 55807422667776. Its totient is φ = 2768865776640.

The previous prime is 13326931149821. The next prime is 13326931149887. The reversal of 13326931149840 is 4894113962331.

13326931149840 is a `hidden beast` number, since 1 + 3 + 3 + 26 + 93 + 1 + 1 + 498 + 40 = 666.

13326931149840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683177367 + ... + 683196873.

Almost surely, 213326931149840 is an apocalyptic number.

13326931149840 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 13326931149840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27903711333888).

13326931149840 is an abundant number, since it is smaller than the sum of its proper divisors (42480491517936).

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

13326931149840 is a wasteful number, since it uses less digits than its factorization.

13326931149840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31867 (or 31858 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13326931149840 in words is "thirteen trillion, three hundred twenty-six billion, nine hundred thirty-one million, one hundred forty-nine thousand, eight hundred forty".