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13321080192 = 273716193061
BaseRepresentation
bin11000110011111111…
…11000110110000000
31021101100221222200110
430121333320312000
5204240144031232
610041500551320
7651052212330
oct143177706600
937340858613
1013321080192
115716447792
1226b9252540
131343a70794
149052690c0
1552e726acc
hex319ff8d80

13321080192 has 128 divisors (see below), whose sum is σ = 40477190400. Its totient is φ = 3802429440.

The previous prime is 13321080173. The next prime is 13321080193. The reversal of 13321080192 is 29108012331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321080193) 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, 4350342 + ... + 4353402.

It is an arithmetic number, because the mean of its divisors is an integer number (316228050).

Almost surely, 213321080192 is an apocalyptic number.

13321080192 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 13321080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20238595200).

13321080192 is an abundant number, since it is smaller than the sum of its proper divisors (27156110208).

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

13321080192 is a wasteful number, since it uses less digits than its factorization.

13321080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 13321080192 in words is "thirteen billion, three hundred twenty-one million, eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1619 2688 3061 3238 4857 6122 6476 9183 9714 11333 12244 12952 18366 19428 21427 22666 24488 25904 33999 36732 38856 42854 45332 48976 51808 64281 67998 73464 77712 85708 90664 97952 103616 128562 135996 146928 155424 171416 181328 195904 207232 257124 271992 293856 310848 342832 362656 391808 514248 543984 587712 621696 685664 725312 1028496 1087968 1175424 1371328 1450624 2056992 2175936 2742656 4113984 4351872 4955759 8227968 9911518 14867277 19823036 29734554 34690313 39646072 59469108 69380626 79292144 104070939 118938216 138761252 158584288 208141878 237876432 277522504 317168576 416283756 475752864 555045008 634337152 832567512 951505728 1110090016 1665135024 1903011456 2220180032 3330270048 4440360064 6660540096 13321080192