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36664554564 = 2232112314927017
BaseRepresentation
bin100010001001011000…
…001011010001000100
310111122012211100112100
4202021120023101010
51100042111221224
624502104352100
72435403400041
oct421130132104
9114565740470
1036664554564
1114605204570
127132a75630
1335c403c801
141abb6061c8
15e48c81ac9
hex88960b444

36664554564 has 144 divisors (see below), whose sum is σ = 106213161600. Its totient is φ = 10555691520.

The previous prime is 36664554527. The next prime is 36664554571. The reversal of 36664554564 is 46545546663.

It is a super-3 number, since 3×366645545643 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 36664554564.

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, 1343584 + ... + 1370600.

It is an arithmetic number, because the mean of its divisors is an integer number (737591400).

Almost surely, 236664554564 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 36664554564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53106580800).

36664554564 is an abundant number, since it is smaller than the sum of its proper divisors (69548607036).

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

36664554564 is a wasteful number, since it uses less digits than its factorization.

36664554564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27210 (or 27205 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 36664554564 in words is "thirty-six billion, six hundred sixty-four million, five hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 149 198 207 253 276 298 396 414 447 506 596 759 828 894 1012 1341 1518 1639 1788 2277 2682 3036 3278 3427 4554 4917 5364 6556 6854 9108 9834 10281 13708 14751 19668 20562 27017 29502 30843 37697 41124 54034 59004 61686 75394 81051 108068 113091 123372 150788 162102 226182 243153 297187 324204 339273 452364 486306 594374 621391 678546 891561 972612 1188748 1242782 1357092 1783122 1864173 2485564 2674683 3566244 3728346 4025533 5349366 5592519 6835301 7456692 8051066 10698732 11185038 12076599 13670602 16102132 20505903 22370076 24153198 27341204 36229797 41011806 44280863 48306396 61517709 72459594 82023612 88561726 92587259 123035418 132842589 144919188 177123452 185174518 246070836 265685178 277761777 370349036 398527767 531370356 555523554 797055534 833285331 1018459849 1111047108 1594111068 1666570662 2036919698 3055379547 3333141324 4073839396 6110759094 9166138641 12221518188 18332277282 36664554564