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13739677248 = 2631150912781
BaseRepresentation
bin11001100101111001…
…01101011001000000
31022110112121220220010
430302330231121000
5211114324132443
610151212544520
7664324221033
oct146274553100
938415556803
1013739677248
115910764970
1227b5482140
1313ac6c3a4b
14944ab101a
15556360733
hex332f2d640

13739677248 has 112 divisors (see below), whose sum is σ = 39738726720. Its totient is φ = 4155033600.

The previous prime is 13739677247. The next prime is 13739677277. The reversal of 13739677248 is 84277693731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13739677241) 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, 1068618 + ... + 1081398.

It is an arithmetic number, because the mean of its divisors is an integer number (354810060).

Almost surely, 213739677248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13739677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869363360).

13739677248 is an abundant number, since it is smaller than the sum of its proper divisors (25999049472).

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

13739677248 is a wasteful number, since it uses less digits than its factorization.

13739677248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13316 (or 13306 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The spelling of 13739677248 in words is "thirteen billion, seven hundred thirty-nine million, six hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 509 528 704 1018 1056 1527 2036 2112 3054 4072 5599 6108 8144 11198 12216 12781 16288 16797 22396 24432 25562 32576 33594 38343 44792 48864 51124 67188 76686 89584 97728 102248 134376 140591 153372 179168 204496 268752 281182 306744 358336 408992 421773 537504 562364 613488 817984 843546 1075008 1124728 1226976 1687092 2249456 2453952 3374184 4498912 6505529 6748368 8997824 13011058 13496736 19516587 26022116 26993472 39033174 52044232 71560819 78066348 104088464 143121638 156132696 208176928 214682457 286243276 312265392 416353856 429364914 572486552 624530784 858729828 1144973104 1249061568 1717459656 2289946208 3434919312 4579892416 6869838624 13739677248