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36315443136 = 2637199135781
BaseRepresentation
bin100001110100100100…
…011010111111000000
310110201212220122200110
4201310210122333000
51043333223140021
624403313551320
72423634113340
oct416444327700
9113655818613
1036315443136
1114446136a25
127055b75540
133569907bbb
141a870cad20
15e282c1476
hex87491afc0

36315443136 has 112 divisors (see below), whose sum is σ = 110363609600. Its totient is φ = 10323624960.

The previous prime is 36315443123. The next prime is 36315443161. The reversal of 36315443136 is 63134451363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×363154431362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36315443094 and 36315443103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199566 + ... + 335346.

Almost surely, 236315443136 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 36315443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55181804800).

36315443136 is an abundant number, since it is smaller than the sum of its proper divisors (74048166464).

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

36315443136 is a wasteful number, since it uses less digits than its factorization.

36315443136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136002 (or 135992 counting only the distinct ones).

The product of its digits is 233280, while the sum is 39.

Adding to 36315443136 its reverse (63134451363), we get a palindrome (99449894499).

The spelling of 36315443136 in words is "thirty-six billion, three hundred fifteen million, four hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 199 224 336 398 448 597 672 796 1194 1344 1393 1592 2388 2786 3184 4179 4776 5572 6368 8358 9552 11144 12736 16716 19104 22288 33432 38208 44576 66864 89152 133728 135781 267456 271562 407343 543124 814686 950467 1086248 1629372 1900934 2172496 2851401 3258744 3801868 4344992 5702802 6517488 7603736 8689984 11405604 13034976 15207472 22811208 26069952 27020419 30414944 45622416 54040838 60829888 81061257 91244832 108081676 162122514 182489664 189142933 216163352 324245028 378285866 432326704 567428799 648490056 756571732 864653408 1134857598 1296980112 1513143464 1729306816 2269715196 2593960224 3026286928 4539430392 5187920448 6052573856 9078860784 12105147712 18157721568 36315443136