Search a number
-
+
68251560552 = 23337293134973
BaseRepresentation
bin111111100100000111…
…000010101001101000
320112011120100111212000
4333210013002221220
52104234344414202
651204311451000
74634223456360
oct774407025150
9215146314760
1068251560552
1126a4425469a
1211289386a60
13658913b0b6
1434367219a0
151b96d8e91c
hexfe41c2a68

68251560552 has 256 divisors, whose sum is σ = 224904384000. Its totient is φ = 18764089344.

The previous prime is 68251560551. The next prime is 68251560571. The reversal of 68251560552 is 25506515286.

68251560552 is a `hidden beast` number, since 6 + 8 + 25 + 15 + 60 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 68251560498 and 68251560507.

It is not an unprimeable number, because it can be changed into a prime (68251560551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13721938 + ... + 13726910.

It is an arithmetic number, because the mean of its divisors is an integer number (878532750).

Almost surely, 268251560552 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 68251560552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112452192000).

68251560552 is an abundant number, since it is smaller than the sum of its proper divisors (156652823448).

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

68251560552 is a wasteful number, since it uses less digits than its factorization.

68251560552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 68251560552 in words is "sixty-eight billion, two hundred fifty-one million, five hundred sixty thousand, five hundred fifty-two".