Search a number
-
+
36948315605838 = 23721383116473163
BaseRepresentation
bin10000110011010101100110…
…01110100000101101001110
311211211020001122100110211120
420121222303032200231032
514320330122243341323
6210325453304501410
710532266463506500
oct1031526316405516
9154736048313746
1036948315605838
1110855768a1205a
1241889b817a866
131780299053910
1491a4452add70
1544119cd135e3
hex219ab33a0b4e

36948315605838 has 96 divisors (see below), whose sum is σ = 93689149550976. Its totient is φ = 9627205678272.

The previous prime is 36948315605759. The next prime is 36948315605893. The reversal of 36948315605838 is 83850651384963.

It is a super-2 number, since 2×369483156058382 (a number of 28 digits) contains 22 as substring.

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, 57919356 + ... + 58553807.

It is an arithmetic number, because the mean of its divisors is an integer number (975928641156).

Almost surely, 236948315605838 is an apocalyptic number.

36948315605838 is an abundant number, since it is smaller than the sum of its proper divisors (56740833945138).

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

36948315605838 is a wasteful number, since it uses less digits than its factorization.

36948315605838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116473278 (or 116473271 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 69.

The spelling of 36948315605838 in words is "thirty-six trillion, nine hundred forty-eight billion, three hundred fifteen million, six hundred five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 83 91 98 147 166 182 249 273 294 498 546 581 637 1079 1162 1274 1743 1911 2158 3237 3486 3822 4067 6474 7553 8134 12201 15106 22659 24402 45318 52871 105742 158613 317226 116473163 232946326 349419489 698838978 815312141 1514151119 1630624282 2445936423 3028302238 4542453357 4891872846 5707184987 9084906714 9667272529 10599057833 11414369974 17121554961 19334545058 21198115666 29001817587 31797173499 34243109922 58003635174 63594346998 67670907703 74193404831 125674542877 135341815406 148386809662 203012723109 222580214493 251349085754 377023628631 406025446218 445160428986 473696353921 754047257262 879721800139 947392707842 1421089061763 1759443600278 2639165400417 2842178123526 5278330800834 6158052600973 12316105201946 18474157802919 36948315605838