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4946836509120 = 26351129113163877
BaseRepresentation
bin100011111111100011001…
…1011101101000111000000
3122111220122112121222010110
41013333012123231013000
51122022110121242440
614304313442231320
71020253135354662
oct107770633550700
918456575558113
104946836509120
111637a3a277a40
1267a891655540
1329b63bac965c
141315dcc52532
1588a2a291080
hex47fc66ed1c0

4946836509120 has 896 divisors, whose sum is σ = 18011947760640. Its totient is φ = 1139292241920.

The previous prime is 4946836509103. The next prime is 4946836509137. The reversal of 4946836509120 is 219056386494.

It is an interprime number because it is at equal distance from previous prime (4946836509103) and next prime (4946836509137).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 5640634122 + ... + 5640634998.

Almost surely, 24946836509120 is an apocalyptic number.

4946836509120 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 4946836509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005973880320).

4946836509120 is an abundant number, since it is smaller than the sum of its proper divisors (13065111251520).

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

4946836509120 is a wasteful number, since it uses less digits than its factorization.

4946836509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 4946836509120 in words is "four trillion, nine hundred forty-six billion, eight hundred thirty-six million, five hundred nine thousand, one hundred twenty".