Search a number
-
+
3525506380845 = 3251728371624429
BaseRepresentation
bin110011010011011000100…
…011100011010000101101
3110111000221121020101102200
4303103120203203100231
5430230214113141340
611255332325012113
7512465222536011
oct63233043432055
913430847211380
103525506380845
11113a182495669
1248b324b54039
131c75b9091707
14c28c783a541
1561a8e723330
hex334d88e342d

3525506380845 has 48 divisors (see below), whose sum is σ = 6472625805360. Its totient is φ = 1769041078272.

The previous prime is 3525506380789. The next prime is 3525506380859. The reversal of 3525506380845 is 5480836055253.

It is a happy number.

3525506380845 is a `hidden beast` number, since 3 + 5 + 2 + 550 + 6 + 3 + 8 + 0 + 84 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 111100889124 + 3414405491721 = 333318^2 + 1847811^2 .

It is not a de Polignac number, because 3525506380845 - 222 = 3525502186541 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3525506380791 and 3525506380800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358091 + ... + 2982519.

It is an arithmetic number, because the mean of its divisors is an integer number (134846370945).

Almost surely, 23525506380845 is an apocalyptic number.

It is an amenable number.

3525506380845 is a deficient number, since it is larger than the sum of its proper divisors (2947119424515).

3525506380845 is a wasteful number, since it uses less digits than its factorization.

3525506380845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627294 (or 1627291 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 3525506380845 in words is "three trillion, five hundred twenty-five billion, five hundred six million, three hundred eighty thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 2837 8511 14185 25533 42555 48229 127665 144687 241145 434061 723435 1624429 2170305 4873287 8122145 14619861 24366435 27615293 73099305 82845879 138076465 248537637 414229395 1242688185 4608505073 13825515219 23042525365 41476545657 69127576095 78344586241 207382728285 235033758723 391722931205 705101276169 1175168793615 3525506380845