Search a number
-
+
1008434335925 = 52612003330139
BaseRepresentation
bin11101010110010110101…
…11101101000010110101
310120101221112010002021002
432223023113231002311
5113010233142222200
62051133543333045
7132566641265462
oct16531327550265
93511845102232
101008434335925
11359746990355
12143536751185
13741307b2963
1436b46692669
151b371e58bd5
hexeacb5ed0b5

1008434335925 has 24 divisors (see below), whose sum is σ = 1271596276320. Its totient is φ = 793123531200.

The previous prime is 1008434335913. The next prime is 1008434335949. The reversal of 1008434335925 is 5295334348001.

It is a de Polignac number, because none of the positive numbers 2k-1008434335925 is a prime.

It is a super-3 number, since 3×10084343359253 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1008434335925.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2889506 + ... + 3219644.

It is an arithmetic number, because the mean of its divisors is an integer number (52983178180).

Almost surely, 21008434335925 is an apocalyptic number.

It is an amenable number.

1008434335925 is a deficient number, since it is larger than the sum of its proper divisors (263161940395).

1008434335925 is a wasteful number, since it uses less digits than its factorization.

1008434335925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332213 (or 332208 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 1008434335925 in words is "one trillion, eight billion, four hundred thirty-four million, three hundred thirty-five thousand, nine hundred twenty-five".

Divisors: 1 5 25 61 305 1525 2003 10015 50075 122183 330139 610915 1650695 3054575 8253475 20138479 100692395 503461975 661268417 3306342085 16531710425 40337373437 201686867185 1008434335925