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13085796829252 = 227419129755291
BaseRepresentation
bin1011111001101100011001…
…0001011000100001000100
31201022222201200101001002011
42332123012101120201010
53203344202442014002
643455310532224004
72520263146540000
oct276330621304104
951288650331064
1013085796829252
114195723189454
121574146a6b004
1373bca6a616c4
143334daa03700
1517a5d1a098d7
hexbe6c6458844

13085796829252 has 120 divisors (see below), whose sum is σ = 28143501934240. Its totient is φ = 5308837873920.

The previous prime is 13085796829241. The next prime is 13085796829319. The reversal of 13085796829252 is 25292869758031.

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 39 ways as a sum of consecutive naturals, for example, 236643727 + ... + 236699017.

Almost surely, 213085796829252 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 13085796829252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071750967120).

13085796829252 is an abundant number, since it is smaller than the sum of its proper divisors (15057705104988).

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

13085796829252 is a wasteful number, since it uses less digits than its factorization.

13085796829252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56639 (or 56616 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 67.

The spelling of 13085796829252 in words is "thirteen trillion, eighty-five billion, seven hundred ninety-six million, eight hundred twenty-nine thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1297 1372 1862 2401 2594 3724 4802 5188 6517 9079 9604 13034 18158 24643 26068 36316 45619 49286 55291 63553 91238 98572 110582 127106 172501 182476 221164 254212 345002 387037 444871 690004 774074 889742 1050529 1207507 1548148 1779484 2101058 2415014 2709259 3114097 4202116 4830028 5418518 6228194 7353703 8452549 10837036 12456388 14707406 16905098 18964813 29414812 33810196 37929626 51475921 59167843 71712427 75859252 102951842 118335686 132753691 143424854 205903684 236671372 265507382 286849708 360331447 501986989 531014764 720662894 1003973978 1362536113 1441325788 2007947956 2522320129 2725072226 3513908923 5044640258 5450144452 7027817846 9537752791 10089280516 14055635692 19075505582 24597362461 38151011164 49194724922 66764269537 98389449844 133528539074 172181537227 267057078148 344363074454 467349886759 688726148908 934699773518 1869399547036 3271449207313 6542898414626 13085796829252