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13207295928 = 23337611571553
BaseRepresentation
bin11000100110011011…
…10101011110111000
31021002102212011000110
430103031311132320
5204022031432203
610022314104320
7645201106641
oct142315653670
937072764013
1013207295928
1156681a0a02
12268711b0a0
131326311b08
148d40ca6c8
1552474cd03
hex3133757b8

13207295928 has 128 divisors (see below), whose sum is σ = 34708403520. Its totient is φ = 4183695360.

The previous prime is 13207295909. The next prime is 13207295947. The reversal of 13207295928 is 82959270231.

It is a Cunningham number, because it is equal to 1149232-1.

It is an interprime number because it is at equal distance from previous prime (13207295909) and next prime (13207295947).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8503600 + ... + 8505152.

Almost surely, 213207295928 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 13207295928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17354201760).

13207295928 is an abundant number, since it is smaller than the sum of its proper divisors (21501107592).

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

13207295928 is a wasteful number, since it uses less digits than its factorization.

13207295928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 13207295928 in words is "thirteen billion, two hundred seven million, two hundred ninety-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 157 183 222 244 296 314 366 444 471 488 628 732 888 942 1256 1464 1553 1884 2257 3106 3768 4514 4659 5809 6212 6771 9028 9318 9577 11618 12424 13542 17427 18056 18636 19154 23236 27084 28731 34854 37272 38308 46472 54168 57461 57462 69708 76616 94733 114922 114924 139416 172383 189466 229844 229848 243821 284199 344766 354349 378932 459688 487642 568398 689532 708698 731463 757864 975284 1063047 1136796 1379064 1417396 1462926 1950568 2126094 2273592 2834792 2925852 3505121 4252188 5851704 7010242 8504376 9021377 10515363 14020484 14873081 18042754 21030726 27064131 28040968 29746162 36085508 42061452 44619243 54128262 59492324 72171016 84122904 89238486 108256524 118984648 178476972 216513048 356953944 550303997 1100607994 1650911991 2201215988 3301823982 4402431976 6603647964 13207295928