Search a number
-
+
54818776460 = 22572102154787
BaseRepresentation
bin110011000011011101…
…000010010110001100
312020111102012101020002
4303003131002112030
51344232101321320
641103340343432
73650313624500
oct630335022614
9166442171202
1054818776460
1121280852138
12a75a844b78
1352281b9846
1429206da300
15165c950675
hexcc374258c

54818776460 has 72 divisors (see below), whose sum is σ = 134048046384. Its totient is φ = 18776257920.

The previous prime is 54818776429. The next prime is 54818776483. The reversal of 54818776460 is 6467781845.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54818776396 and 54818776405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973187 + ... + 1027973.

It is an arithmetic number, because the mean of its divisors is an integer number (1861778422).

Almost surely, 254818776460 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 54818776460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67024023192).

54818776460 is an abundant number, since it is smaller than the sum of its proper divisors (79229269924).

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

54818776460 is a wasteful number, since it uses less digits than its factorization.

54818776460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55831 (or 55822 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 54818776460 in words is "fifty-four billion, eight hundred eighteen million, seven hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1021 2042 4084 5105 7147 10210 14294 20420 28588 35735 50029 54787 71470 100058 109574 142940 200116 219148 250145 273935 383509 500290 547870 767018 1000580 1095740 1534036 1917545 2684563 3835090 5369126 7670180 10738252 13422815 26845630 53691260 55937527 111875054 223750108 279687635 391562689 559375270 783125378 1118750540 1566250756 1957813445 2740938823 3915626890 5481877646 7831253780 10963755292 13704694115 27409388230 54818776460