Search a number
-
+
4670241556680 = 23325743139311997
BaseRepresentation
bin100001111110110000000…
…0101101100100011001000
3121112110201011102112202200
41003331200011230203020
51103004123314303210
613533251312400200
7661261640145510
oct103754005544310
917473634375680
104670241556680
111540702673357
1263515a546060
1327b52bc47b1b
14122080318840
158173c7510c0
hex43f6016c8c8

4670241556680 has 768 divisors, whose sum is σ = 17953192857600. Its totient is φ = 1030794024960.

The previous prime is 4670241556663. The next prime is 4670241556693. The reversal of 4670241556680 is 866551420764.

4670241556680 is a `hidden beast` number, since 4 + 6 + 7 + 0 + 2 + 4 + 1 + 556 + 6 + 80 = 666.

It is a super-2 number, since 2×46702415566802 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4684293942 + ... + 4684294938.

It is an arithmetic number, because the mean of its divisors is an integer number (23376553200).

Almost surely, 24670241556680 is an apocalyptic number.

4670241556680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4670241556680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976596428800).

4670241556680 is an abundant number, since it is smaller than the sum of its proper divisors (13282951300920).

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

4670241556680 is a wasteful number, since it uses less digits than its factorization.

4670241556680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4670241556680 in words is "four trillion, six hundred seventy billion, two hundred forty-one million, five hundred fifty-six thousand, six hundred eighty".