Search a number
-
+
54675398064 = 2437499326101
BaseRepresentation
bin110010111010111010…
…000101110110110000
312020010102102000001010
4302322322011312300
51343433400214224
641041215310520
73643623133620
oct627272056660
9166112360033
1054675398064
11212079228a1
12a71a81b440
135204598861
142909656880
15165007ce29
hexcbae85db0

54675398064 has 80 divisors (see below), whose sum is σ = 161746592000. Its totient is φ = 15590188800.

The previous prime is 54675398053. The next prime is 54675398077. The reversal of 54675398064 is 46089357645.

It is a junction number, because it is equal to n+sod(n) for n = 54675397995 and 54675398013.

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 15 ways as a sum of consecutive naturals, for example, 4614 + ... + 330714.

It is an arithmetic number, because the mean of its divisors is an integer number (2021832400).

Almost surely, 254675398064 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 54675398064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80873296000).

54675398064 is an abundant number, since it is smaller than the sum of its proper divisors (107071193936).

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

54675398064 is a wasteful number, since it uses less digits than its factorization.

54675398064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326618 (or 326612 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 54675398064 in words is "fifty-four billion, six hundred seventy-five million, three hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 499 998 1497 1996 2994 3493 3992 5988 6986 7984 10479 11976 13972 20958 23952 27944 41916 55888 83832 167664 326101 652202 978303 1304404 1956606 2282707 2608808 3913212 4565414 5217616 6848121 7826424 9130828 13696242 15652848 18261656 27392484 36523312 54784968 109569936 162724399 325448798 488173197 650897596 976346394 1139070793 1301795192 1952692788 2278141586 2603590384 3417212379 3905385576 4556283172 6834424758 7810771152 9112566344 13668849516 18225132688 27337699032 54675398064