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5668445053440 = 2932513173135911
BaseRepresentation
bin101001001111100100110…
…1001110110001000000000
3202001220020200102011002200
41102133021221312020000
51220332433413202230
620020014145513200
71123350231653001
oct122371151661000
922056220364080
105668445053440
111895a79502824
127766ba942800
133216bbc790a0
141584d5d191a8
159c6b1400160
hex527c9a76200

5668445053440 has 960 divisors, whose sum is σ = 23107893000192. Its totient is φ = 1270834790400.

The previous prime is 5668445053421. The next prime is 5668445053507. The reversal of 5668445053440 is 443505448665.

5668445053440 is a `hidden beast` number, since 5 + 6 + 68 + 4 + 4 + 5 + 0 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 157829085 + ... + 157864995.

Almost surely, 25668445053440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5668445053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553946500096).

5668445053440 is an abundant number, since it is smaller than the sum of its proper divisors (17439447946752).

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

5668445053440 is a wasteful number, since it uses less digits than its factorization.

5668445053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36001 (or 35982 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 5668445053440 in words is "five trillion, six hundred sixty-eight billion, four hundred forty-five million, fifty-three thousand, four hundred forty".