Search a number
-
+
45733066820 = 22573179133387
BaseRepresentation
bin101010100101111001…
…110011100001000100
311101001012211111200122
4222211321303201010
51222130131114240
633002014201112
73206210440220
oct524571634104
9141035744618
1045733066820
111843913aaa1
128a43ab3198
13440aa5a3ac
1422dbb73780
1512c9e934b5
hexaa5e73844

45733066820 has 96 divisors (see below), whose sum is σ = 114735022080. Its totient is φ = 14981915520.

The previous prime is 45733066801. The next prime is 45733066831. The reversal of 45733066820 is 2866033754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276167 + ... + 409553.

It is an arithmetic number, because the mean of its divisors is an integer number (1195156480).

Almost surely, 245733066820 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 45733066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57367511040).

45733066820 is an abundant number, since it is smaller than the sum of its proper divisors (69001955260).

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

45733066820 is a wasteful number, since it uses less digits than its factorization.

45733066820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133513 (or 133511 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 45733066820 in words is "forty-five billion, seven hundred thirty-three million, sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 79 124 140 155 158 217 310 316 395 434 553 620 790 868 1085 1106 1580 2170 2212 2449 2765 4340 4898 5530 9796 11060 12245 17143 24490 34286 48980 68572 85715 133387 171430 266774 342860 533548 666935 933709 1333870 1867418 2667740 3734836 4134997 4668545 8269994 9337090 10537573 16539988 18674180 20674985 21075146 28944979 41349970 42150292 52687865 57889958 73763011 82699940 105375730 115779916 144724895 147526022 210751460 289449790 295052044 326664763 368815055 578899580 653329526 737630110 1306659052 1475260220 1633323815 2286653341 3266647630 4573306682 6533295260 9146613364 11433266705 22866533410 45733066820