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4080479908032 = 26321153113191563
BaseRepresentation
bin111011011000001111100…
…011100011000011000000
3112110002102122211121222200
4323120033203203003000
51013323310324024112
612402314021433200
7600543044640363
oct73301743430300
915402378747880
104080479908032
111333581591760
1255a9a856b800
13237a3149c3a8
141016d3b200da
1571221673cdc
hex3b60f8e30c0

4080479908032 has 672 divisors, whose sum is σ = 13207093825536. Its totient is φ = 1194022502400.

The previous prime is 4080479908031. The next prime is 4080479908121. The reversal of 4080479908032 is 2308099740804.

4080479908032 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 479 + 90 + 80 + 3 + 2 = 666.

It is a super-2 number, since 2×40804799080322 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4080479908032.

It is not an unprimeable number, because it can be changed into a prime (4080479908031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7247743783 + ... + 7247744345.

Almost surely, 24080479908032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4080479908032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603546912768).

4080479908032 is an abundant number, since it is smaller than the sum of its proper divisors (9126613917504).

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

4080479908032 is a wasteful number, since it uses less digits than its factorization.

4080479908032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4080479908032 in words is "four trillion, eighty billion, four hundred seventy-nine million, nine hundred eight thousand, thirty-two".