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99985664 = 283143293
BaseRepresentation
bin1011111010110…
…10100100000000
320222010210112202
411331122210000
5201044020124
613531012332
72322602252
oct575324400
9228123482
1099985664
1151491789
122959a0a8
131793a11c
14d3c9cd2
158ba05ae
hex5f5a900

99985664 has 72 divisors (see below), whose sum is σ = 211529472. Its totient is φ = 47093760.

The previous prime is 99985663. The next prime is 99985673. The reversal of 99985664 is 46658999.

It is not an unprimeable number, because it can be changed into a prime (99985661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341102 + ... + 341394.

Almost surely, 299985664 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 99985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105764736).

99985664 is an abundant number, since it is smaller than the sum of its proper divisors (111543808).

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

99985664 is a wasteful number, since it uses less digits than its factorization.

99985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 56.

The square root of 99985664 is about 9999.2831743080. The cubic root of 99985664 is about 464.1367016954.

The spelling of 99985664 in words is "ninety-nine million, nine hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 172 248 256 293 344 496 586 688 992 1172 1333 1376 1984 2344 2666 2752 3968 4688 5332 5504 7936 9083 9376 10664 11008 12599 18166 18752 21328 25198 36332 37504 42656 50396 72664 75008 85312 100792 145328 170624 201584 290656 341248 390569 403168 581312 781138 806336 1162624 1562276 1612672 2325248 3124552 3225344 6249104 12498208 24996416 49992832 99985664