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10819292512 = 257219363161
BaseRepresentation
bin10100001001110000…
…10100110101100000
31000221000102000011111
422010320110311200
5134124214330022
64545330553104
7532053316600
oct120470246540
930830360144
1010819292512
114652232666
12211b438794
131035666742
14748cb0c00
15434c96477
hex284e14d60

10819292512 has 72 divisors (see below), whose sum is σ = 26082294840. Its totient is φ = 4392783360.

The previous prime is 10819292461. The next prime is 10819292513. The reversal of 10819292512 is 21529291801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10819292513) 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 11 ways as a sum of consecutive naturals, for example, 151789 + ... + 211372.

It is an arithmetic number, because the mean of its divisors is an integer number (362254095).

Almost surely, 210819292512 is an apocalyptic number.

It is an amenable number.

10819292512 is an abundant number, since it is smaller than the sum of its proper divisors (15263002328).

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

10819292512 is a wasteful number, since it uses less digits than its factorization.

10819292512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363204 (or 363189 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

It can be divided in two parts, 108192 and 92512, that added together give a square (200704 = 4482).

The spelling of 10819292512 in words is "ten billion, eight hundred nineteen million, two hundred ninety-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 29792 363161 726322 1452644 2542127 2905288 5084254 5810576 6900059 10168508 11621152 13800118 17794889 20337016 27600236 35589778 40674032 48300413 55200472 71179556 81348064 96600826 110400944 142359112 193201652 220801888 284718224 338102891 386403304 569436448 676205782 772806608 1352411564 1545613216 2704823128 5409646256 10819292512