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9999998208 = 2835160751
BaseRepresentation
bin10010101000000101…
…11101110100000000
3221210220202112200000
421110002331310000
5130434444420313
64332142400000
7502544403504
oct112402756400
927726675600
109999998208
114271813732
121b30b90000
13c349b9705
146ac162304
153d7dac673
hex2540bdd00

9999998208 has 108 divisors (see below), whose sum is σ = 29900515008. Its totient is φ = 3333312000.

The previous prime is 9999998191. The next prime is 9999998231. The reversal of 9999998208 is 8028999999.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×99999982082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18168 + ... + 142583.

Almost surely, 29999998208 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 9999998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950257504).

9999998208 is an abundant number, since it is smaller than the sum of its proper divisors (19900516800).

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

9999998208 is an equidigital number, since it uses as much as digits as its factorization.

9999998208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160782 (or 160756 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 72.

The square root of 9999998208 is about 99999.9910399996. The cubic root of 9999998208 is about 2154.4345613403.

The spelling of 9999998208 in words is "nine billion, nine hundred ninety-nine million, nine hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 160751 321502 482253 643004 964506 1286008 1446759 1929012 2572016 2893518 3858024 4340277 5144032 5787036 7716048 8680554 10288064 11574072 13020831 15432096 17361108 20576128 23148144 26041662 30864192 34722216 39062493 41152256 46296288 52083324 61728384 69444432 78124986 92592576 104166648 123456768 138888864 156249972 185185152 208333296 277777728 312499944 370370304 416666592 555555456 624999888 833333184 1111110912 1249999776 1666666368 2499999552 3333332736 4999999104 9999998208