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4539946199040 = 211335710921521
BaseRepresentation
bin100001000010000100111…
…1000010110100000000000
3121002000101122201120122000
41002010021320112200000
51043340302211332130
613353342242544000
7646000045655250
oct102041170264000
917060348646560
104539946199040
1114a04203006aa
12613a56968000
1326c165b0c575
14119a3d927960
157d1639e9260
hex42109e16800

4539946199040 has 768 divisors, whose sum is σ = 18613603008000. Its totient is φ = 1028134010880.

The previous prime is 4539946199021. The next prime is 4539946199053. The reversal of 4539946199040 is 409916499354.

4539946199040 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 9 + 4 + 619 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×45399461990402 (a number of 26 digits) contains 22 as substring.

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

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, 210943480 + ... + 210965000.

It is an arithmetic number, because the mean of its divisors is an integer number (24236462250).

Almost surely, 24539946199040 is an apocalyptic number.

4539946199040 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 4539946199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9306801504000).

4539946199040 is an abundant number, since it is smaller than the sum of its proper divisors (14073656808960).

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

4539946199040 is a wasteful number, since it uses less digits than its factorization.

4539946199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21673 (or 21647 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 4539946199040 in words is "four trillion, five hundred thirty-nine billion, nine hundred forty-six million, one hundred ninety-nine thousand, forty".