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13722442608 = 2437472773137
BaseRepresentation
bin11001100011110101…
…11101101101110000
31022102100012022102010
430301322331231300
5211100421130413
610145355322520
7664024560210
oct146172755560
938370168363
1013722442608
115901a63266
1227ab750440
1313a8c6b234
149426a6240
15554aa8dc3
hex331ebdb70

13722442608 has 160 divisors (see below), whose sum is σ = 41538484224. Its totient is φ = 3822206976.

The previous prime is 13722442579. The next prime is 13722442631. The reversal of 13722442608 is 80624422731.

It is a happy number.

It is a super-2 number, since 2×137224426082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4372816 + ... + 4375952.

Almost surely, 213722442608 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 13722442608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769242112).

13722442608 is an abundant number, since it is smaller than the sum of its proper divisors (27816041616).

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

13722442608 is a wasteful number, since it uses less digits than its factorization.

13722442608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 13722442608 in words is "thirteen billion, seven hundred twenty-two million, four hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 277 282 329 336 376 554 564 658 752 831 987 1108 1128 1316 1662 1939 1974 2216 2256 2632 3137 3324 3878 3948 4432 5264 5817 6274 6648 7756 7896 9411 11634 12548 13019 13296 15512 15792 18822 21959 23268 25096 26038 31024 37644 39057 43918 46536 50192 52076 65877 75288 78114 87836 91133 93072 104152 131754 147439 150576 156228 175672 182266 208304 263508 273399 294878 312456 351344 364532 442317 527016 546798 589756 624912 729064 868949 884634 1032073 1054032 1093596 1179512 1458128 1737898 1769268 2064146 2187192 2359024 2606847 3096219 3475796 3538536 4128292 4374384 5213694 6082643 6192438 6951592 7077072 8256584 10427388 12165286 12384876 13903184 16513168 18247929 20854776 24330572 24769752 36495858 40840603 41709552 48661144 49539504 72991716 81681206 97322288 122521809 145983432 163362412 245043618 285884221 291966864 326724824 490087236 571768442 653449648 857652663 980174472 1143536884 1715305326 1960348944 2287073768 3430610652 4574147536 6861221304 13722442608