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5808688128 = 210322812243
BaseRepresentation
bin1010110100011100…
…11000110000000000
3112222211001221010100
411122032120300000
543344011010003
62400220202400
7263642014545
oct53216306000
915884057110
105808688128
112510942401
121161399400
13717564189
143d164cbcc
1523ee47ba3
hex15a398c00

5808688128 has 132 divisors (see below), whose sum is σ = 16839653688. Its totient is φ = 1928478720.

The previous prime is 5808688099. The next prime is 5808688159. The reversal of 5808688128 is 8218868085.

It is a happy number.

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, 2588575 + ... + 2590817.

It is an arithmetic number, because the mean of its divisors is an integer number (127573134).

Almost surely, 25808688128 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 5808688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419826844).

5808688128 is an abundant number, since it is smaller than the sum of its proper divisors (11030965560).

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

5808688128 is a wasteful number, since it uses less digits than its factorization.

5808688128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The square root of 5808688128 is about 76214.7500684743. The cubic root of 5808688128 is about 1797.5984565671.

The spelling of 5808688128 in words is "five billion, eight hundred eight million, six hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 281 288 384 512 562 576 768 843 1024 1124 1152 1536 1686 2243 2248 2304 2529 3072 3372 4486 4496 4608 5058 6729 6744 8972 8992 9216 10116 13458 13488 17944 17984 20187 20232 26916 26976 35888 35968 40374 40464 53832 53952 71776 71936 80748 80928 107664 107904 143552 143872 161496 161856 215328 215808 287104 287744 322992 323712 430656 431616 574208 630283 645984 647424 861312 863232 1148416 1260566 1291968 1294848 1722624 1890849 2296832 2521132 2583936 2589696 3445248 3781698 5042264 5167872 5672547 6890496 7563396 10084528 10335744 11345094 15126792 20169056 20671488 22690188 30253584 40338112 45380376 60507168 80676224 90760752 121014336 161352448 181521504 242028672 322704896 363043008 484057344 645409792 726086016 968114688 1452172032 1936229376 2904344064 5808688128