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4907312659872 = 25357647139343
BaseRepresentation
bin100011101101001001010…
…1000001011110110100000
3122101010122001112101200000
41013122102220023312200
51120400134020103442
614234215513100000
71014353532240540
oct107322250136640
918333561471600
104907312659872
1116221a8077017
126730a10b7600
132979b059b9cc
1412d72d9cd320
15879b54b0d4c
hex47692a0bda0

4907312659872 has 288 divisors, whose sum is σ = 16565143375872. Its totient is φ = 1399912222464.

The previous prime is 4907312659813. The next prime is 4907312659889. The reversal of 4907312659872 is 2789562137094.

4907312659872 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 31 + 2 + 6 + 598 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35147833 + ... + 35287175.

It is an arithmetic number, because the mean of its divisors is an integer number (57517858944).

It is a 1-persistent number, because it is pandigital, but 2⋅4907312659872 = 9814625319744 is not.

Almost surely, 24907312659872 is an apocalyptic number.

4907312659872 is a gapful number since it is divisible by the number (42) 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 4907312659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282571687936).

4907312659872 is an abundant number, since it is smaller than the sum of its proper divisors (11657830716000).

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

4907312659872 is a wasteful number, since it uses less digits than its factorization.

4907312659872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140022 (or 140002 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4907312659872 in words is "four trillion, nine hundred seven billion, three hundred twelve million, six hundred fifty-nine thousand, eight hundred seventy-two".