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13748093823516 = 22313559971573813
BaseRepresentation
bin1100100000001111101000…
…1111111010101000011100
31210200022020022000022002020
43020003322033322220130
53300222044004323031
645123442003300140
72616160403235003
oct310037217725034
953608208008066
1013748093823516
114420596607878
12166058097a650
13789593cab0a0
143575a8825c3a
1518c945aa6096
hexc80fa3faa1c

13748093823516 has 48 divisors (see below), whose sum is σ = 34547131057824. Its totient is φ = 4230104484096.

The previous prime is 13748093823481. The next prime is 13748093823517. The reversal of 13748093823516 is 61532839084731.

It is a happy number.

13748093823516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13748093823516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748093823517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7948626 + ... + 9522438.

It is an arithmetic number, because the mean of its divisors is an integer number (719731897038).

It is a 1-persistent number, because it is pandigital, but 2⋅13748093823516 = 27496187647032 is not.

Almost surely, 213748093823516 is an apocalyptic number.

It is an amenable number.

13748093823516 is an abundant number, since it is smaller than the sum of its proper divisors (20799037234308).

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

13748093823516 is a wasteful number, since it uses less digits than its factorization.

13748093823516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629830 (or 1629828 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 13748093823516 in words is "thirteen trillion, seven hundred forty-eight billion, ninety-three million, eight hundred twenty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 55997 111994 167991 223988 335982 671964 727961 1455922 1573813 2183883 2911844 3147626 4367766 4721439 6295252 8735532 9442878 18885756 20459569 40919138 61378707 81838276 122757414 245514828 88128806561 176257613122 264386419683 352515226244 528772839366 1057545678732 1145674485293 2291348970586 3437023455879 4582697941172 6874046911758 13748093823516