Search a number
-
+
820872525552 = 24317101510949
BaseRepresentation
bin10111111000111111101…
…00001011011011110000
32220110211000110220021120
423330133310023123300
5101422121331304202
61425034215022240
7113206662225132
oct13743764133360
92813730426246
10820872525552
11297148160112
1211311066a980
135c53c34b401
142ba32495052
151654595e0bc
hexbf1fd0b6f0

820872525552 has 20 divisors (see below), whose sum is σ = 2120587357800. Its totient is φ = 273624175168.

The previous prime is 820872525491. The next prime is 820872525631. The reversal of 820872525552 is 255525278028.

It is a happy number.

It is a super-2 number, since 2×8208725255522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 820872525495 and 820872525504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8550755427 + ... + 8550755522.

It is an arithmetic number, because the mean of its divisors is an integer number (106029367890).

Almost surely, 2820872525552 is an apocalyptic number.

It is an amenable number.

820872525552 is an abundant number, since it is smaller than the sum of its proper divisors (1299714832248).

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

820872525552 is a wasteful number, since it uses less digits than its factorization.

820872525552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17101510960 (or 17101510954 counting only the distinct ones).

The product of its (nonzero) digits is 4480000, while the sum is 51.

The spelling of 820872525552 in words is "eight hundred twenty billion, eight hundred seventy-two million, five hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 17101510949 34203021898 51304532847 68406043796 102609065694 136812087592 205218131388 273624175184 410436262776 820872525552