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99698688 = 21134601
BaseRepresentation
bin1011111000101…
…00100000000000
320221121012220000
411330110200000
5201010324223
613520520000
72320265505
oct574244000
9227535800
1099698688
1151306111
1229480000
131786960b
14d3534ac
158b45543
hex5f14800

99698688 has 120 divisors (see below), whose sum is σ = 298287990. Its totient is φ = 33177600.

The previous prime is 99698653. The next prime is 99698699. The reversal of 99698688 is 88689699.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 29942784 = 8352^2 + 5472^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165588 + ... + 166188.

Almost surely, 299698688 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 99698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149143995).

99698688 is an abundant number, since it is smaller than the sum of its proper divisors (198589302).

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

99698688 is an equidigital number, since it uses as much as digits as its factorization.

99698688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 606 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The square root of 99698688 is about 9984.9230342552. The cubic root of 99698688 is about 463.6922255434.

The spelling of 99698688 in words is "ninety-nine million, six hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 601 648 768 864 1024 1152 1202 1296 1536 1728 1803 2048 2304 2404 2592 3072 3456 3606 4608 4808 5184 5409 6144 6912 7212 9216 9616 10368 10818 13824 14424 16227 18432 19232 20736 21636 27648 28848 32454 38464 41472 43272 48681 55296 57696 64908 76928 82944 86544 97362 115392 129816 153856 165888 173088 194724 230784 259632 307712 346176 389448 461568 519264 615424 692352 778896 923136 1038528 1230848 1384704 1557792 1846272 2077056 2769408 3115584 3692544 4154112 5538816 6231168 8308224 11077632 12462336 16616448 24924672 33232896 49849344 99698688