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9928385190 = 2335293140903
BaseRepresentation
bin10010011111100011…
…10010001010100110
3221121221000020002000
421033301302022212
5130313131311230
64321103430130
7501014611263
oct111761621246
927557006060
109928385190
114235350819
121b10bb5346
13c22c04949
146a284026a
153d1963b60
hex24fc722a6

9928385190 has 128 divisors (see below), whose sum is σ = 28272844800. Its totient is φ = 2473752960.

The previous prime is 9928385189. The next prime is 9928385209. The reversal of 9928385190 is 915838299.

9928385190 is a `hidden beast` number, since 9 + 92 + 8 + 38 + 519 + 0 = 666.

9928385190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99283851902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222279 + ... + 263181.

It is an arithmetic number, because the mean of its divisors is an integer number (220881600).

Almost surely, 29928385190 is an apocalyptic number.

9928385190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9928385190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14136422400).

9928385190 is an abundant number, since it is smaller than the sum of its proper divisors (18344459610).

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

9928385190 is a wasteful number, since it uses less digits than its factorization.

9928385190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40979 (or 40973 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 9928385190 is about 99641.2825589876. The cubic root of 9928385190 is about 2149.2793827986.

The spelling of 9928385190 in words is "nine billion, nine hundred twenty-eight million, three hundred eighty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 31 45 54 58 62 87 90 93 135 145 155 174 186 261 270 279 290 310 435 465 522 558 783 837 870 899 930 1305 1395 1566 1674 1798 2610 2697 2790 3915 4185 4495 5394 7830 8091 8370 8990 13485 16182 24273 26970 40455 40903 48546 80910 81806 121365 122709 204515 242730 245418 368127 409030 613545 736254 1104381 1186187 1227090 1267993 1840635 2208762 2372374 2535986 3558561 3681270 3803979 5521905 5930935 6339965 7117122 7607958 10675683 11043810 11411937 11861870 12679930 17792805 19019895 21351366 22823874 32027049 34235811 35585610 36771797 38039790 53378415 57059685 64054098 68471622 73543594 106756830 110315391 114119370 160135245 171179055 183858985 220630782 320270490 330946173 342358110 367717970 551576955 661892346 992838519 1103153910 1654730865 1985677038 3309461730 4964192595 9928385190