Search a number
-
+
36866768422480 = 24522910131986553
BaseRepresentation
bin10000110000111101101101…
…01000101100011001010000
311211112102120110221100021021
420120132312220230121100
514313011120204004410
6210224205401405224
710523351614053313
oct1030366650543120
9154472513840237
1036866768422480
1110824121729247
12417503a199814
1317756a15194b9
1491650ac6c97a
1543dec8ac9eda
hex2187b6a2c650

36866768422480 has 80 divisors (see below), whose sum is σ = 86174567041680. Its totient is φ = 14667809992704.

The previous prime is 36866768422409. The next prime is 36866768422553. The reversal of 36866768422480 is 8422486766863.

It can be written as a sum of positive squares in 8 ways, for example, as 9303134410816 + 27563634011664 = 3050104^2 + 5250108^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×368667684224802 (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 15 ways as a sum of consecutive naturals, for example, 17564884 + ... + 19551436.

It is an arithmetic number, because the mean of its divisors is an integer number (1077182088021).

Almost surely, 236866768422480 is an apocalyptic number.

It is an amenable number.

36866768422480 is an abundant number, since it is smaller than the sum of its proper divisors (49307798619200).

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

36866768422480 is a wasteful number, since it uses less digits than its factorization.

36866768422480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987808 (or 1987802 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 70.

The spelling of 36866768422480 in words is "thirty-six trillion, eight hundred sixty-six billion, seven hundred sixty-eight million, four hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1013 1145 1832 2026 2290 3664 4052 4580 5065 8104 9160 10130 16208 18320 20260 40520 81040 231977 463954 927908 1159885 1855816 1986553 2319770 3711632 3973106 4639540 7946212 9279080 9932765 15892424 18558160 19865530 31784848 39731060 79462120 158924240 454920637 909841274 1819682548 2012378189 2274603185 3639365096 4024756378 4549206370 7278730192 8049512756 9098412740 10061890945 16099025512 18196825480 20123781890 32198051024 36393650960 40247563780 80495127560 160990255120 460834605281 921669210562 1843338421124 2304173026405 3686676842248 4608346052810 7373353684496 9216692105620 18433384211240 36866768422480