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13991058048 = 273113789521
BaseRepresentation
bin11010000011110111…
…01001101010000000
31100010001122101112010
431001323221222000
5212123202324143
610232152532520
71003466013462
oct150173515200
940101571463
1013991058048
115a2a650aa0
1228656b1140
13141c7caa96
1496a22a132
1556d468a33
hex341ee9a80

13991058048 has 128 divisors (see below), whose sum is σ = 41638472640. Its totient is φ = 4125081600.

The previous prime is 13991058001. The next prime is 13991058061. The reversal of 13991058048 is 84085019931.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 13991057988 and 13991058006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111528 + ... + 201048.

Almost surely, 213991058048 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 13991058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20819236320).

13991058048 is an abundant number, since it is smaller than the sum of its proper divisors (27647414592).

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

13991058048 is a wasteful number, since it uses less digits than its factorization.

13991058048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89586 (or 89574 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 13991058048 in words is "thirteen billion, nine hundred ninety-one million, fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 26048 39072 52096 78144 89521 156288 179042 268563 358084 537126 716168 984731 1074252 1432336 1969462 2148504 2864672 2954193 3312277 3938924 4297008 5729344 5908386 6624554 7877848 8594016 9936831 11458688 11816772 13249108 15755696 17188032 19873662 23633544 26498216 31511392 34376064 36435047 39747324 47267088 52996432 63022784 72870094 79494648 94534176 105992864 109305141 126045568 145740188 158989296 189068352 211985728 218610282 291480376 317978592 378136704 423971456 437220564 582960752 635957184 874441128 1165921504 1271914368 1748882256 2331843008 3497764512 4663686016 6995529024 13991058048