Search a number
-
+
2256673775652 = 2232531182743069
BaseRepresentation
bin100000110101101100001…
…111010010000000100100
321222201212110211122012100
4200311230033102000210
5243433131441310102
64444411314452100
7322016323412502
oct40655417220044
97881773748170
102256673775652
117a00605734aa
12305437594030
13134a5a178b2a
147b31b77d672
153da7bb71a1c
hex20d6c3d2024

2256673775652 has 36 divisors (see below), whose sum is σ = 5811999445980. Its totient is φ = 738031674432.

The previous prime is 2256673775651. The next prime is 2256673775669. The reversal of 2256673775652 is 2565773766522.

2256673775652 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 67 + 3 + 7 + 7 + 565 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1619831471076 + 636842304576 = 1272726^2 + 798024^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2256673775652.

It is not an unprimeable number, because it can be changed into a prime (2256673775651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591369627 + ... + 591373442.

It is an arithmetic number, because the mean of its divisors is an integer number (161444429055).

Almost surely, 22256673775652 is an apocalyptic number.

It is an amenable number.

2256673775652 is an abundant number, since it is smaller than the sum of its proper divisors (3555325670328).

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

2256673775652 is a wasteful number, since it uses less digits than its factorization.

2256673775652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182743132 (or 1182743127 counting only the distinct ones).

The product of its digits is 222264000, while the sum is 63.

The spelling of 2256673775652 in words is "two trillion, two hundred fifty-six billion, six hundred seventy-three million, seven hundred seventy-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 1182743069 2365486138 3548229207 4730972276 7096458414 10644687621 14192916828 21289375242 42578750484 62685382657 125370765314 188056147971 250741530628 376112295942 564168443913 752224591884 1128336887826 2256673775652