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9899937564 = 22311239733617
BaseRepresentation
bin10010011100001010…
…10000111100011100
3221112221110221021020
421032011100330130
5130233341000224
64314210004140
7500221036506
oct111605207434
927487427236
109899937564
114220290690
121b03576650
13c1a05442a
1469cb56d76
153ce1e4c79
hex24e150f1c

9899937564 has 96 divisors (see below), whose sum is σ = 26567364096. Its totient is φ = 2839879680.

The previous prime is 9899937529. The next prime is 9899937569. The reversal of 9899937564 is 4657399989.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9899937569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277684 + ... + 311300.

It is an arithmetic number, because the mean of its divisors is an integer number (276743376).

Almost surely, 29899937564 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 9899937564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283682048).

9899937564 is an abundant number, since it is smaller than the sum of its proper divisors (16667426532).

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

9899937564 is a wasteful number, since it uses less digits than its factorization.

With its successor (9899937565) it forms an eRAP, since the sums of their prime factors are consecutive (33755 and 33756).

9899937564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33755 (or 33753 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 69.

The square root of 9899937564 is about 99498.4299574621. The cubic root of 9899937564 is about 2147.2246550566.

The spelling of 9899937564 in words is "nine billion, eight hundred ninety-nine million, nine hundred thirty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 97 132 138 194 253 276 291 388 506 582 759 1012 1067 1164 1518 2134 2231 3036 3201 4268 4462 6402 6693 8924 12804 13386 24541 26772 33617 49082 67234 73623 98164 100851 134468 147246 201702 294492 369787 403404 739574 773191 1109361 1479148 1546382 2218722 2319573 3092764 3260849 4437444 4639146 6521698 8505101 9278292 9782547 13043396 17010202 19565094 25515303 34020404 35869339 39130188 51030606 71738678 74999527 102061212 107608017 143477356 149999054 215216034 224998581 299998108 430432068 449997162 824994797 899994324 1649989594 2474984391 3299979188 4949968782 9899937564