Search a number
-
+
73455760260 = 22325408087557
BaseRepresentation
bin100010001101001001…
…1011111001110000100
321000121020222020202100
41010122103133032010
52200414133312020
653424535512100
75210205442311
oct1043223371604
9230536866670
1073455760260
1129174952993
12122a0228630
136c083946cc
1437ab979d08
151d9dbcea90
hex111a4df384

73455760260 has 36 divisors (see below), whose sum is σ = 222815806668. Its totient is φ = 19588202688.

The previous prime is 73455760249. The next prime is 73455760271. The reversal of 73455760260 is 6206755437.

73455760260 is a `hidden beast` number, since 7 + 34 + 5 + 5 + 7 + 602 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (73455760249) and next prime (73455760271).

It can be written as a sum of positive squares in 2 ways, for example, as 16016927364 + 57438832896 = 126558^2 + 239664^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 204043599 + ... + 204043958.

It is an arithmetic number, because the mean of its divisors is an integer number (6189327963).

Almost surely, 273455760260 is an apocalyptic number.

It is an amenable number.

73455760260 is an abundant number, since it is smaller than the sum of its proper divisors (149360046408).

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

73455760260 is a wasteful number, since it uses less digits than its factorization.

73455760260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408087572 (or 408087567 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 73455760260 in words is "seventy-three billion, four hundred fifty-five million, seven hundred sixty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 408087557 816175114 1224262671 1632350228 2040437785 2448525342 3672788013 4080875570 4897050684 6121313355 7345576026 8161751140 12242626710 14691152052 18363940065 24485253420 36727880130 73455760260