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32680903680 = 210335236407
BaseRepresentation
bin11110011011111011…
…110000010000000000
310010100120212220212000
4132123323300100000
51013412302404210
623002521104000
72234602045365
oct363373602000
9103316786760
1032680903680
1112950577707
126400928000
13310a923839
14182050a46c
15cb418aac0
hex79bef0400

32680903680 has 176 divisors, whose sum is σ = 116142522240. Its totient is φ = 8714870784.

The previous prime is 32680903663. The next prime is 32680903687. The reversal of 32680903680 is 8630908623.

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

It is not an unprimeable number, because it can be changed into a prime (32680903687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20037 + ... + 256443.

Almost surely, 232680903680 is an apocalyptic number.

32680903680 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 32680903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58071261120).

32680903680 is an abundant number, since it is smaller than the sum of its proper divisors (83461618560).

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

32680903680 is a wasteful number, since it uses less digits than its factorization.

32680903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236441 (or 236417 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 32680903680 in words is "thirty-two billion, six hundred eighty million, nine hundred three thousand, six hundred eighty".