Search a number
-
+
36077600790396 = 223211673114372273
BaseRepresentation
bin10000011001111111110001…
…00101000101011101111100
311201201222121000210220112100
420030333320211011131330
514212043411300243041
6204421453200305100
710412343402626664
oct1014777045053574
9151658530726470
1036077600790396
111054a474117930
1240680b7612190
131719145833ba9
148ca24541d1a4
154286db7b36b6
hex20cff894577c

36077600790396 has 144 divisors (see below), whose sum is σ = 101296284380928. Its totient is φ = 10734802214400.

The previous prime is 36077600790337. The next prime is 36077600790509. The reversal of 36077600790396 is 69309700677063.

36077600790396 is a `hidden beast` number, since 36 + 0 + 77 + 60 + 0 + 7 + 90 + 396 = 666.

It is a congruent number.

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, 6065316 + ... + 10437588.

It is an arithmetic number, because the mean of its divisors is an integer number (703446419312).

Almost surely, 236077600790396 is an apocalyptic number.

36077600790396 is a gapful number since it is divisible by the number (36) 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 36077600790396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50648142190464).

36077600790396 is an abundant number, since it is smaller than the sum of its proper divisors (65218683590532).

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

36077600790396 is a wasteful number, since it uses less digits than its factorization.

36077600790396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372672 (or 4372667 counting only the distinct ones).

The product of its (nonzero) digits is 54010152, while the sum is 63.

The spelling of 36077600790396 in words is "thirty-six trillion, seventy-seven billion, six hundred million, seven hundred ninety thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 311 396 402 603 622 737 804 933 1206 1244 1474 1866 2211 2412 2799 2948 3421 3732 4422 5598 6633 6842 8844 10263 11196 13266 13684 20526 20837 26532 30789 41052 41674 61578 62511 83348 123156 125022 187533 229207 250044 375066 458414 687621 750132 916828 1375242 2062863 2750484 4125726 4372273 8251452 8744546 13116819 17489092 26233638 39350457 48095003 52467276 78700914 96190006 144285009 157401828 192380012 288570018 292942291 432855027 577140036 585884582 865710054 878826873 1171769164 1359776903 1731420108 1757653746 2636480619 2719553806 3222365201 3515307492 4079330709 5272961238 5439107612 6444730402 8158661418 9667095603 10545922476 12237992127 12889460804 14957545933 16317322836 19334191206 24475984254 29001286809 29915091866 38668382412 44872637799 48951968508 58002573618 59830183732 89745275598 91105052501 116005147236 134617913397 179490551196 182210105002 269235826794 273315157503 364420210004 538471653588 546630315006 819945472509 1002155577511 1093260630012 1639890945018 2004311155022 3006466732533 3279781890036 4008622310044 6012933465066 9019400197599 12025866930132 18038800395198 36077600790396