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6988457088 = 27348212
BaseRepresentation
bin1101000001000101…
…10110010010000000
3200001001000101220000
412200202312102000
5103303021111323
63113242520000
7335115622314
oct64042662200
920031011800
106988457088
112a66890278
121430506000
13874ac4012
144a41d3b44
152ad7d8e43
hex1a08b6480

6988457088 has 120 divisors (see below), whose sum is σ = 20822897865. Its totient is φ = 2326648320.

The previous prime is 6988457071. The next prime is 6988457117. The reversal of 6988457088 is 8807548896.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6607738944 + 380718144 = 81288^2 + 19512^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=59112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8511718 + ... + 8512538.

Almost surely, 26988457088 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 6988457088

6988457088 is an abundant number, since it is smaller than the sum of its proper divisors (13834440777).

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

6988457088 is an frugal number, since it uses more digits than its factorization.

6988457088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 6988457088 is about 83596.9920989984. The cubic root of 6988457088 is about 1911.8791378000.

The spelling of 6988457088 in words is "six billion, nine hundred eighty-eight million, four hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 821 864 1152 1296 1642 1728 2463 2592 3284 3456 4926 5184 6568 7389 9852 10368 13136 14778 19704 22167 26272 29556 39408 44334 52544 59112 66501 78816 88668 105088 118224 133002 157632 177336 236448 266004 315264 354672 472896 532008 674041 709344 945792 1064016 1348082 1418688 2022123 2128032 2696164 2837376 4044246 4256064 5392328 6066369 8088492 8512128 10784656 12132738 16176984 18199107 21569312 24265476 32353968 36398214 43138624 48530952 54597321 64707936 72796428 86277248 97061904 109194642 129415872 145592856 194123808 218389284 258831744 291185712 388247616 436778568 582371424 776495232 873557136 1164742848 1747114272 2329485696 3494228544 6988457088