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4945682942640 = 24335113121671297
BaseRepresentation
bin100011111111000000110…
…1011001100101010110000
3122111210200010222201102000
41013332001223030222300
51122012224313131030
614304003153254000
71020212430251256
oct107760153145260
918453603881360
104945682942640
1116374a80a6410
1267a60b264300
1329b4b6b1213b
1413152d96c5d6
15889add78860
hex47f81accab0

4945682942640 has 960 divisors, whose sum is σ = 19332472642560. Its totient is φ = 1152440524800.

The previous prime is 4945682942621. The next prime is 4945682942677. The reversal of 4945682942640 is 462492865494.

4945682942640 is a `hidden beast` number, since 4 + 9 + 4 + 568 + 2 + 9 + 4 + 2 + 64 + 0 = 666.

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, 3813170472 + ... + 3813171768.

It is an arithmetic number, because the mean of its divisors is an integer number (20137992336).

Almost surely, 24945682942640 is an apocalyptic number.

4945682942640 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 4945682942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9666236321280).

4945682942640 is an abundant number, since it is smaller than the sum of its proper divisors (14386789699920).

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

4945682942640 is a wasteful number, since it uses less digits than its factorization.

4945682942640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4945682942640 in words is "four trillion, nine hundred forty-five billion, six hundred eighty-two million, nine hundred forty-two thousand, six hundred forty".