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13880848772 = 22721719239533
BaseRepresentation
bin11001110110101110…
…01111000110000100
31022211101021011211002
430323113033012010
5211411444130042
610213214432432
71000660160600
oct147327170604
938741234732
1013880848772
11598341714a
122834802718
131402a213ab
1495973c500
15563949132
hex33b5cf184

13880848772 has 144 divisors (see below), whose sum is σ = 32867130240. Its totient is φ = 5073159168.

The previous prime is 13880848727. The next prime is 13880848799. The reversal of 13880848772 is 27784808831.

It is a super-2 number, since 2×138808487722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451318 + ... + 1460850.

It is an arithmetic number, because the mean of its divisors is an integer number (228243960).

Almost surely, 213880848772 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 13880848772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16433565120).

13880848772 is an abundant number, since it is smaller than the sum of its proper divisors (18986281468).

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

13880848772 is a wasteful number, since it uses less digits than its factorization.

13880848772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9610 (or 9601 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 56.

The spelling of 13880848772 in words is "thirteen billion, eight hundred eighty million, eight hundred forty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 17 19 23 28 34 38 46 49 68 76 92 98 119 133 161 196 238 266 322 323 391 437 476 532 644 646 782 833 874 931 1127 1292 1564 1666 1748 1862 2254 2261 2737 3059 3332 3724 4508 4522 5474 6118 7429 9044 9533 10948 12236 14858 15827 19066 19159 21413 29716 31654 38132 38318 42826 52003 63308 66731 76636 85652 104006 133462 162061 181127 208012 219259 266924 324122 362254 364021 438518 467117 648244 724508 728042 877036 934234 1134427 1267889 1456084 1534813 1868468 2268854 2535778 3069626 3079159 3727403 4165921 4537708 5071556 6139252 6158318 7454806 7940989 8331842 8875223 10743691 12316636 14909612 15881978 16663684 17750446 21487382 21554113 26091821 29161447 31763956 35500892 42974764 43108226 52183642 58322894 70820657 86216452 104367284 116645788 141641314 150878791 182642747 204130129 283282628 301757582 365285494 408260258 495744599 603515164 730570988 816520516 991489198 1982978396 3470212193 6940424386 13880848772