Search a number
-
+
54220676928 = 263112172347127
BaseRepresentation
bin110010011111110011…
…011101111101000000
312011221201202202220120
4302133303131331000
51342020443130203
640524133140240
73626432102205
oct623763357500
9164851682816
1054220676928
1120aa4182100
12a61248a680
135161307cb2
1428a50c9cac
1516251aab53
hexc9fcddf40

54220676928 has 672 divisors, whose sum is σ = 179328909312. Its totient is φ = 14362951680.

The previous prime is 54220676897. The next prime is 54220676929. The reversal of 54220676928 is 82967602245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54220676929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426934401 + ... + 426934527.

It is an arithmetic number, because the mean of its divisors is an integer number (266858496).

Almost surely, 254220676928 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 54220676928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89664454656).

54220676928 is an abundant number, since it is smaller than the sum of its proper divisors (125108232384).

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

54220676928 is a wasteful number, since it uses less digits than its factorization.

54220676928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 54220676928 in words is "fifty-four billion, two hundred twenty million, six hundred seventy-six thousand, nine hundred twenty-eight".