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10288242888 = 2337116783093
BaseRepresentation
bin10011001010011101…
…00010000011001000
3222120000010220000220
421211032202003020
5132032242233023
64420520430040
7512644423140
oct114516420310
928500126026
1010288242888
1143aa499180
121bb1618320
13c7c62c9b1
146d8555920
154033483e3
hex2653a20c8

10288242888 has 128 divisors (see below), whose sum is σ = 32546257920. Its totient is φ = 2632354560.

The previous prime is 10288242883. The next prime is 10288242947. The reversal of 10288242888 is 88824288201.

It is a self number, because there is not a number n which added to its sum of digits gives 10288242888.

It is not an unprimeable number, because it can be changed into a prime (10288242883) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 82270 + ... + 165362.

It is an arithmetic number, because the mean of its divisors is an integer number (254267640).

Almost surely, 210288242888 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 10288242888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273128960).

10288242888 is an abundant number, since it is smaller than the sum of its proper divisors (22258015032).

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

10288242888 is a wasteful number, since it uses less digits than its factorization.

10288242888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83187 (or 83183 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 51.

The spelling of 10288242888 in words is "ten billion, two hundred eighty-eight million, two hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 67 77 84 88 132 134 154 168 201 231 264 268 308 402 462 469 536 616 737 804 924 938 1407 1474 1608 1848 1876 2211 2814 2948 3752 4422 5159 5628 5896 8844 10318 11256 15477 17688 20636 30954 41272 61908 83093 123816 166186 249279 332372 498558 581651 664744 914023 997116 1163302 1744953 1828046 1994232 2326604 2742069 3489906 3656092 4653208 5484138 5567231 6398161 6979812 7312184 10968276 11134462 12796322 13959624 16701693 19194483 21936552 22268924 25592644 33403386 38388966 38970617 44537848 51185288 61239541 66806772 76777932 77941234 116911851 122479082 133613544 153555864 155882468 183718623 233823702 244958164 311764936 367437246 428676787 467647404 489916328 734874492 857353574 935294808 1286030361 1469748984 1714707148 2572060722 3429414296 5144121444 10288242888