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10532112162048 = 283312711997977
BaseRepresentation
bin1001100101000011001011…
…0011011101110100000000
31101021212020000010211002000
42121100302303131310000
52340024231203141143
634222215135224000
72134630362162441
oct231206263356400
941255200124060
1010532112162048
1133a0709820114
12122123b078000
135b5235126bc9
14285a850d12c8
15133e6ed1abd3
hex99432cddd00

10532112162048 has 144 divisors (see below), whose sum is σ = 31390549800960. Its totient is φ = 3483060424704.

The previous prime is 10532112162043. The next prime is 10532112162067. The reversal of 10532112162048 is 84026121123501.

10532112162048 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 2 + 1 + 1 + 21 + 620 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105321121620482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532112162043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5121165 + ... + 6876812.

Almost surely, 210532112162048 is an apocalyptic number.

10532112162048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10532112162048 is an abundant number, since it is smaller than the sum of its proper divisors (20858437638912).

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

10532112162048 is a wasteful number, since it uses less digits than its factorization.

10532112162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11998129 (or 11998109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 10532112162048 its reverse (84026121123501), we get a palindrome (94558233285549).

The spelling of 10532112162048 in words is "ten trillion, five hundred thirty-two billion, one hundred twelve million, one hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 576 762 768 864 1016 1143 1152 1524 1728 2032 2286 2304 3048 3429 3456 4064 4572 6096 6858 6912 8128 9144 12192 13716 16256 18288 24384 27432 32512 36576 48768 54864 73152 97536 109728 146304 219456 292608 438912 877824 11997977 23995954 35993931 47991908 71987862 95983816 107981793 143975724 191967632 215963586 287951448 323945379 383935264 431927172 575902896 647890758 767870528 863854344 1151805792 1295781516 1523743079 1535741056 1727708688 2303611584 2591563032 3047486158 3071482112 3455417376 4571229237 4607223168 5183126064 6094972316 6910834752 9142458474 9214446336 10366252128 12189944632 13713687711 13821669504 18284916948 20732504256 24379889264 27427375422 27643339008 36569833896 41141063133 41465008512 48759778528 54854750844 73139667792 82282126266 82930017024 97519557056 109709501688 146279335584 164564252532 195039114112 219419003376 292558671168 329128505064 390078228224 438838006752 585117342336 658257010128 877676013504 1170234684672 1316514020256 1755352027008 2633028040512 3510704054016 5266056081024 10532112162048