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4940065922688 = 273313314382487
BaseRepresentation
bin100011111100011001011…
…0111111101111010000000
3122111021011200120112121000
41013320302313331322000
51121414223334011223
614301233541132000
71016623303336641
oct107706267757200
918437150515530
104940065922688
111635085476166
126795020ba000
1329ab001a8ab0
141311599736c8
1588780b91543
hex47e32dfde80

4940065922688 has 512 divisors, whose sum is σ = 16585235251200. Its totient is φ = 1436760944640.

The previous prime is 4940065922653. The next prime is 4940065922711. The reversal of 4940065922688 is 8862295600494.

4940065922688 is a `hidden beast` number, since 4 + 9 + 400 + 65 + 92 + 2 + 6 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59847781 + ... + 59930267.

It is an arithmetic number, because the mean of its divisors is an integer number (32393037600).

Almost surely, 24940065922688 is an apocalyptic number.

4940065922688 is a gapful number since it is divisible by the number (48) 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 4940065922688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8292617625600).

4940065922688 is an abundant number, since it is smaller than the sum of its proper divisors (11645169328512).

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

4940065922688 is a wasteful number, since it uses less digits than its factorization.

4940065922688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82597 (or 82579 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 4940065922688 in words is "four trillion, nine hundred forty billion, sixty-five million, nine hundred twenty-two thousand, six hundred eighty-eight".