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23808066076080 = 2435511138564299
BaseRepresentation
bin1010110100111001111110…
…10100100011110110110000
310010022000210001121122100000
411122130333110203312300
511110032404403413310
6122345135150030000
75005035033422556
oct532347724436660
9103260701548300
1023808066076080
117649a42696890
1228061b51a8300
131039124bc9b90
145c4460863bd6
152b4480aba4c0
hex15a73f523db0

23808066076080 has 480 divisors, whose sum is σ = 97412677689600. Its totient is φ = 5327678499840.

The previous prime is 23808066076033. The next prime is 23808066076121. The reversal of 23808066076080 is 8067066080832.

It is a happy number.

23808066076080 is a `hidden beast` number, since 23 + 8 + 0 + 8 + 0 + 6 + 6 + 0 + 7 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1502230 + ... + 7062069.

It is an arithmetic number, because the mean of its divisors is an integer number (202943078520).

Almost surely, 223808066076080 is an apocalyptic number.

23808066076080 is a gapful number since it is divisible by the number (20) 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 23808066076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48706338844800).

23808066076080 is an abundant number, since it is smaller than the sum of its proper divisors (73604611613520).

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

23808066076080 is a wasteful number, since it uses less digits than its factorization.

23808066076080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564351 (or 8564333 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 23808066076080 in words is "twenty-three trillion, eight hundred eight billion, sixty-six million, seventy-six thousand, eighty".