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3568783680 = 263257211319
BaseRepresentation
bin1101010010110111…
…0101000101000000
3100012201021222212100
43110231311011000
524302102034210
61350043230400
7154303106100
oct32455650500
910181258770
103568783680
111571538000
12837218400
1344b4a0627
1425bd85200
1515d4975c0
hexd4b75140

3568783680 has 1008 divisors, whose sum is σ = 16532717760. Its totient is φ = 702535680.

The previous prime is 3568783663. The next prime is 3568783721. The reversal of 3568783680 is 863878653.

It is a happy number.

3568783680 is a `hidden beast` number, since 3 + 568 + 78 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187830711 + ... + 187830729.

Almost surely, 23568783680 is an apocalyptic number.

3568783680 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 3568783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8266358880).

3568783680 is an abundant number, since it is smaller than the sum of its proper divisors (12963934080).

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

3568783680 is a wasteful number, since it uses less digits than its factorization.

3568783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3568783680 is about 59739.2976189041. The cubic root of 3568783680 is about 1528.1761170500.

The spelling of 3568783680 in words is "three billion, five hundred sixty-eight million, seven hundred eighty-three thousand, six hundred eighty".