Search a number
-
+
5487707646720 = 28365132172389
BaseRepresentation
bin100111111011011010011…
…0111010110101100000000
3201102121201210002121000000
41033312310313112230000
51204402311124143340
615401003524000000
71104321340234035
oct117666467265400
921377653077000
105487707646720
1118263619a2002
1274767a230000
1330a647629100
1414d86c20938c
1597b340d5d30
hex4fdb4dd6b00

5487707646720 has 3024 divisors, whose sum is σ = 23843480915520. Its totient is φ = 1202419924992.

The previous prime is 5487707646643. The next prime is 5487707646763. The reversal of 5487707646720 is 276467077845.

5487707646720 is a `hidden beast` number, since 5 + 4 + 87 + 7 + 0 + 76 + 467 + 20 = 666.

It is a super-2 number, since 2×54877076467202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 61659636436 + ... + 61659636524.

It is an arithmetic number, because the mean of its divisors is an integer number (7884748980).

Almost surely, 25487707646720 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 5487707646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921740457760).

5487707646720 is an abundant number, since it is smaller than the sum of its proper divisors (18355773268800).

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

5487707646720 is a wasteful number, since it uses less digits than its factorization.

5487707646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 5487707646720 in words is "five trillion, four hundred eighty-seven billion, seven hundred seven million, six hundred forty-six thousand, seven hundred twenty".