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13749746712 = 2331323791621
BaseRepresentation
bin11001100111000110…
…00111110000011000
31022111020120111121020
430303203013300120
5211124413343322
610152212442440
7664505630052
oct146343076030
938436514536
1013749746712
115916412239
1227b8919420
1313b180b100
149461728d2
1555719e05c
hex3338c7c18

13749746712 has 96 divisors (see below), whose sum is σ = 38228363280. Its totient is φ = 4116303360.

The previous prime is 13749746687. The next prime is 13749746743. The reversal of 13749746712 is 21764794731.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104262 + ... + 195882.

Almost surely, 213749746712 is an apocalyptic number.

13749746712 is a gapful number since it is divisible by the number (12) 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 13749746712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19114181640).

13749746712 is an abundant number, since it is smaller than the sum of its proper divisors (24478616568).

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

13749746712 is a wasteful number, since it uses less digits than its factorization.

13749746712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91693 (or 91676 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The spelling of 13749746712 in words is "thirteen billion, seven hundred forty-nine million, seven hundred forty-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 169 222 296 312 338 444 481 507 676 888 962 1014 1352 1443 1924 2028 2886 3848 4056 5772 6253 11544 12506 18759 25012 37518 50024 75036 91621 150072 183242 274863 366484 549726 732968 1099452 1191073 2198904 2382146 3389977 3573219 4764292 6779954 7146438 9528584 10169931 13559908 14292876 15483949 20339862 27119816 28585752 30967898 40679724 44069701 46451847 61935796 81359448 88139402 92903694 123871592 132209103 176278804 185807388 264418206 352557608 371614776 528836412 572906113 1057672824 1145812226 1718718339 2291624452 3437436678 4583248904 6874873356 13749746712