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5583708768 = 2531115733679
BaseRepresentation
bin1010011001101000…
…01010001001100000
3112102010201210110110
411030310022021200
542413412140033
62322022131320
7255240512211
oct51464121140
915363653413
105583708768
112405949050
1210b9b80b40
136aca721b1
143ad807408
1522a307363
hex14cd0a260

5583708768 has 96 divisors (see below), whose sum is σ = 16092034560. Its totient is φ = 1681205760.

The previous prime is 5583708743. The next prime is 5583708787. The reversal of 5583708768 is 8678073855.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148953 + ... + 182631.

It is an arithmetic number, because the mean of its divisors is an integer number (167625360).

Almost surely, 25583708768 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 5583708768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046017280).

5583708768 is an abundant number, since it is smaller than the sum of its proper divisors (10508325792).

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

5583708768 is a wasteful number, since it uses less digits than its factorization.

5583708768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33860 (or 33852 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The square root of 5583708768 is about 74724.2180822255. The cubic root of 5583708768 is about 1774.0843011288.

The spelling of 5583708768 in words is "five billion, five hundred eighty-three million, seven hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 157 176 264 314 352 471 528 628 942 1056 1256 1727 1884 2512 3454 3768 5024 5181 6908 7536 10362 13816 15072 20724 27632 33679 41448 55264 67358 82896 101037 134716 165792 202074 269432 370469 404148 538864 740938 808296 1077728 1111407 1481876 1616592 2222814 2963752 3233184 4445628 5287603 5927504 8891256 10575206 11855008 15862809 17782512 21150412 31725618 35565024 42300824 58163633 63451236 84601648 116327266 126902472 169203296 174490899 232654532 253804944 348981798 465309064 507609888 697963596 930618128 1395927192 1861236256 2791854384 5583708768