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9828750150 = 2325286325309
BaseRepresentation
bin10010010011101011…
…01101001101000110
3221100222112020111100
421021311231031012
5130112130001100
64303144120530
7465364666152
oct111165551506
927328466440
109828750150
11419408950a
121aa3766146
13c0838b2bb
14693506062
153c7d32400
hex249d6d346

9828750150 has 72 divisors (see below), whose sum is σ = 26438218560. Its totient is φ = 2617859520.

The previous prime is 9828750143. The next prime is 9828750181. The reversal of 9828750150 is 510578289.

It is a happy number.

9828750150 is a `hidden beast` number, since 98 + 2 + 8 + 7 + 501 + 50 = 666.

9828750150 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 2×98287501502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 9828750096 and 9828750105.

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 35 ways as a sum of consecutive naturals, for example, 375696 + ... + 401004.

It is an arithmetic number, because the mean of its divisors is an integer number (367197480).

Almost surely, 29828750150 is an apocalyptic number.

9828750150 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 9828750150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219109280).

9828750150 is an abundant number, since it is smaller than the sum of its proper divisors (16609468410).

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

9828750150 is a wasteful number, since it uses less digits than its factorization.

9828750150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26190 (or 26182 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 9828750150 is about 99140.0532075710. The cubic root of 9828750150 is about 2142.0655915491.

The spelling of 9828750150 in words is "nine billion, eight hundred twenty-eight million, seven hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 863 1726 2589 4315 5178 7767 8630 12945 15534 21575 25309 25890 38835 43150 50618 64725 75927 77670 126545 129450 151854 194175 227781 253090 379635 388350 455562 632725 759270 1138905 1265450 1898175 2277810 3796350 5694525 11389050 21841667 43683334 65525001 109208335 131050002 196575003 218416670 327625005 393150006 546041675 655250010 982875015 1092083350 1638125025 1965750030 3276250050 4914375075 9828750150