Search a number
-
+
45733820120 = 23529311271797
BaseRepresentation
bin101010100101111100…
…101011011011011000
311101001021020210000122
4222211330223123120
51222130324220440
633002042252412
73206220025352
oct524574533330
9141037223018
1045733820120
1118439604a5a
128a441b7108
13440ac62231
1422dbccc0d2
1512ca0917b5
hexaa5f2b6d8

45733820120 has 64 divisors (see below), whose sum is σ = 109883347200. Its totient is φ = 17092938240.

The previous prime is 45733820117. The next prime is 45733820147. The reversal of 45733820120 is 2102833754.

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, 599939 + ... + 671858.

It is an arithmetic number, because the mean of its divisors is an integer number (1716927300).

Almost surely, 245733820120 is an apocalyptic number.

45733820120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45733820120 is an abundant number, since it is smaller than the sum of its proper divisors (64149527080).

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

45733820120 is a wasteful number, since it uses less digits than its factorization.

45733820120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271868 (or 1271864 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 45733820120 in words is "forty-five billion, seven hundred thirty-three million, eight hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 580 620 899 1160 1240 1798 3596 4495 7192 8990 17980 35960 1271797 2543594 5087188 6358985 10174376 12717970 25435940 36882113 39425707 50871880 73764226 78851414 147528452 157702828 184410565 197128535 295056904 315405656 368821130 394257070 737642260 788514140 1143345503 1475284520 1577028280 2286691006 4573382012 5716727515 9146764024 11433455030 22866910060 45733820120