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13435604196 = 22372173269491
BaseRepresentation
bin11001000001101001…
…10000110011100100
31021200100110102002020
430200310300303210
5210004003313241
610101111343140
7653642515500
oct144064606344
937610412066
1013435604196
115775059323
12272b681ab0
1313616cb071
1491655b300
155397e9b66
hex320d30ce4

13435604196 has 144 divisors (see below), whose sum is σ = 36890199360. Its totient is φ = 3794622720.

The previous prime is 13435604179. The next prime is 13435604233. The reversal of 13435604196 is 69140653431.

It is a happy number.

It is a super-2 number, since 2×134356041962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27363511 + ... + 27364001.

It is an arithmetic number, because the mean of its divisors is an integer number (256181940).

Almost surely, 213435604196 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 13435604196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445099680).

13435604196 is an abundant number, since it is smaller than the sum of its proper divisors (23454595164).

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

13435604196 is a wasteful number, since it uses less digits than its factorization.

13435604196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13435604196 in words is "thirteen billion, four hundred thirty-five million, six hundred four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 173 196 269 294 346 491 519 538 588 692 807 982 1038 1076 1211 1473 1614 1883 1964 2076 2422 2946 3228 3437 3633 3766 4844 5649 5892 6874 7266 7532 8477 10311 11298 13181 13748 14532 16954 20622 22596 24059 25431 26362 33908 39543 41244 46537 48118 50862 52724 72177 79086 84943 93074 96236 101724 132079 139611 144354 158172 169886 186148 254829 264158 279222 288708 325759 339772 396237 509658 528316 558444 594601 651518 792474 924553 977277 1019316 1189202 1303036 1584948 1783803 1849106 1954554 2280313 2378404 2773659 3567606 3698212 3909108 4162207 4560626 5547318 6471871 6840939 7135212 8324414 9121252 11094636 12486621 12943742 13681878 16648828 19415613 22849667 24973242 25887484 27363756 38831226 45699334 49946484 68549001 77662452 91398668 137098002 159947669 274196004 319895338 479843007 639790676 959686014 1119633683 1919372028 2239267366 3358901049 4478534732 6717802098 13435604196