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4220246096640 = 28325736117509
BaseRepresentation
bin111101011010011010010…
…001001111101100000000
3112221110012012120122210200
4331122122101033230000
51023121031000043030
612550430532125200
7613621426641000
oct75323221175400
915843165518720
104220246096640
111387883999942
12581ab3a66800
13247c76799342
14108392288000
1574ba1aacd60
hex3d69a44fb00

4220246096640 has 864 divisors, whose sum is σ = 17308256784000. Its totient is φ = 948759920640.

The previous prime is 4220246096621. The next prime is 4220246096663. The reversal of 4220246096640 is 466906420224.

4220246096640 is a `hidden beast` number, since 42 + 2 + 0 + 2 + 460 + 96 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241024206 + ... + 241041714.

Almost surely, 24220246096640 is an apocalyptic number.

4220246096640 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 4220246096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654128392000).

4220246096640 is an abundant number, since it is smaller than the sum of its proper divisors (13088010687360).

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

4220246096640 is a wasteful number, since it uses less digits than its factorization.

4220246096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17618 (or 17587 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4220246096640 in words is "four trillion, two hundred twenty billion, two hundred forty-six million, ninety-six thousand, six hundred forty".