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32665408380 = 2233511194353127
BaseRepresentation
bin11110011011000000…
…101001001101111100
310010022111201200022000
4132123000221031330
51013344321032010
623001205022300
72234323250523
oct363300511574
9103274650260
1032665408380
1112942853880
1263b76b4990
133107659917
14181c4354ba
15cb2b297c0
hex79b02937c

32665408380 has 768 divisors, whose sum is σ = 122624409600. Its totient is φ = 7132769280.

The previous prime is 32665408379. The next prime is 32665408463. The reversal of 32665408380 is 8380456623.

It is a happy number.

32665408380 is a `hidden beast` number, since 3 + 26 + 6 + 540 + 8 + 3 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 257207877 + ... + 257208003.

It is an arithmetic number, because the mean of its divisors is an integer number (159667200).

Almost surely, 232665408380 is an apocalyptic number.

32665408380 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 32665408380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61312204800).

32665408380 is an abundant number, since it is smaller than the sum of its proper divisors (89959001220).

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

32665408380 is a wasteful number, since it uses less digits than its factorization.

32665408380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 32665408380 in words is "thirty-two billion, six hundred sixty-five million, four hundred eight thousand, three hundred eighty".