Search a number
-
+
54920812968 = 233673143397
BaseRepresentation
bin110011001001100010…
…010001100110101000
312020202112012101000000
4303021202101212220
51344434212003333
641121423343000
73652663131150
oct631142214650
9166675171000
1054920812968
112132340472a
12a788a51a60
135243394288
14293009b760
1516668a8713
hexcc98919a8

54920812968 has 224 divisors, whose sum is σ = 182146613760. Its totient is φ = 15185128320.

The previous prime is 54920812949. The next prime is 54920812997. The reversal of 54920812968 is 86921802945.

It is a happy number.

54920812968 is a `hidden beast` number, since 549 + 2 + 0 + 8 + 1 + 2 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1243846 + ... + 1287242.

Almost surely, 254920812968 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 54920812968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91073306880).

54920812968 is an abundant number, since it is smaller than the sum of its proper divisors (127225800792).

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

54920812968 is a wasteful number, since it uses less digits than its factorization.

54920812968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43459 (or 43440 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 54920812968 in words is "fifty-four billion, nine hundred twenty million, eight hundred twelve thousand, nine hundred sixty-eight".