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5882628096 = 21132439727
BaseRepresentation
bin1010111101010000…
…11100100000000000
3120011222012110200200
411132220130200000
544021423044341
62411421045200
7265530341142
oct53650344000
916158173620
105882628096
112549654614
1211820b6800
13729982137
143db3b8c92
152466a0db6
hex15ea1c800

5882628096 has 144 divisors (see below), whose sum is σ = 17052235200. Its totient is φ = 1953718272.

The previous prime is 5882628079. The next prime is 5882628121. The reversal of 5882628096 is 6908262885.

5882628096 is a `hidden beast` number, since 5 + 8 + 8 + 2 + 628 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8091285 + ... + 8092011.

It is an arithmetic number, because the mean of its divisors is an integer number (118418300).

Almost surely, 25882628096 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 5882628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526117600).

5882628096 is an abundant number, since it is smaller than the sum of its proper divisors (11169607104).

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

5882628096 is a wasteful number, since it uses less digits than its factorization.

5882628096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 5882628096 is about 76698.2926537482. The cubic root of 5882628096 is about 1805.1936518724.

The spelling of 5882628096 in words is "five billion, eight hundred eighty-two million, six hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 439 512 576 727 768 878 1024 1152 1317 1454 1536 1756 2048 2181 2304 2634 2908 3072 3512 3951 4362 4608 5268 5816 6144 6543 7024 7902 8724 9216 10536 11632 13086 14048 15804 17448 18432 21072 23264 26172 28096 31608 34896 42144 46528 52344 56192 63216 69792 84288 93056 104688 112384 126432 139584 168576 186112 209376 224768 252864 279168 319153 337152 372224 418752 449536 505728 558336 638306 674304 744448 837504 899072 957459 1011456 1116672 1276612 1348608 1488896 1675008 1914918 2022912 2233344 2553224 2697216 2872377 3350016 3829836 4045824 4466688 5106448 5744754 6700032 7659672 8091648 10212896 11489508 13400064 15319344 20425792 22979016 30638688 40851584 45958032 61277376 81703168 91916064 122554752 163406336 183832128 245109504 326812672 367664256 490219008 653625344 735328512 980438016 1470657024 1960876032 2941314048 5882628096