Search a number
-
+
54296372416 = 261113291491373
BaseRepresentation
bin110010100100010100…
…001110010011000000
312012011000012111121011
4302210110032103000
51342144332404131
640535435410304
73631341356566
oct624424162300
9165130174534
1054296372416
1121032983260
12a6338b3994
135173bbc020
1428b1191a36
15162bb5e0b1
hexca450e4c0

54296372416 has 224 divisors, whose sum is σ = 131920488000. Its totient is φ = 21832581120.

The previous prime is 54296372411. The next prime is 54296372467. The reversal of 54296372416 is 61427369245.

It is a self number, because there is not a number n which added to its sum of digits gives 54296372416.

It is not an unprimeable number, because it can be changed into a prime (54296372411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39545106 + ... + 39546478.

It is an arithmetic number, because the mean of its divisors is an integer number (588930750).

Almost surely, 254296372416 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 54296372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65960244000).

54296372416 is an abundant number, since it is smaller than the sum of its proper divisors (77624115584).

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

54296372416 is a wasteful number, since it uses less digits than its factorization.

54296372416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1577 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

The spelling of 54296372416 in words is "fifty-four billion, two hundred ninety-six million, three hundred seventy-two thousand, four hundred sixteen".