Search a number
-
+
5452791187968 = 2934679720231
BaseRepresentation
bin100111101011001001110…
…1011101000101000000000
3201022021121101121201010000
41033112103223220220000
51203314304021003333
615332551103040000
71101644151233145
oct117262353505000
921267541551100
105452791187968
111812574520823
127409548a0000
13307271805627
1414bcb8c483cc
1596c8da58713
hex4f593ae8a00

5452791187968 has 400 divisors, whose sum is σ = 16689172699584. Its totient is φ = 1771922718720.

The previous prime is 5452791187927. The next prime is 5452791187981. The reversal of 5452791187968 is 8697811972545.

It is a happy number.

5452791187968 is a `hidden beast` number, since 5 + 4 + 527 + 9 + 1 + 1 + 8 + 7 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5452791187896 and 5452791187905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269516413 + ... + 269536643.

Almost surely, 25452791187968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5452791187968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344586349792).

5452791187968 is an abundant number, since it is smaller than the sum of its proper divisors (11236381511616).

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

5452791187968 is an equidigital number, since it uses as much as digits as its factorization.

5452791187968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425 (or 20400 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 72.

The spelling of 5452791187968 in words is "five trillion, four hundred fifty-two billion, seven hundred ninety-one million, one hundred eighty-seven thousand, nine hundred sixty-eight".