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32245678080 = 21732571171
BaseRepresentation
bin11110000001111111…
…100000000000000000
310002020020221011120100
4132001333200000000
51012014343144310
622451412442400
72221035512160
oct360177400000
9102206834510
1032245678080
1112747932230
1262bb019400
13306b6ca8b5
1417bc7b65a0
15c8ad69ec0
hex781fe0000

32245678080 has 864 divisors, whose sum is σ = 141330728448. Its totient is φ = 6606028800.

The previous prime is 32245678051. The next prime is 32245678097. The reversal of 32245678080 is 8087654223.

32245678080 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 567 + 8 + 0 + 80 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454164445 + ... + 454164515.

It is an arithmetic number, because the mean of its divisors is an integer number (163577232).

Almost surely, 232245678080 is an apocalyptic number.

32245678080 is a gapful number since it is divisible by the number (30) 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 32245678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70665364224).

32245678080 is an abundant number, since it is smaller than the sum of its proper divisors (109085050368).

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

32245678080 is an equidigital number, since it uses as much as digits as its factorization.

32245678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 32245678080 in words is "thirty-two billion, two hundred forty-five million, six hundred seventy-eight thousand, eighty".