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10755192890898 = 23231271139950839
BaseRepresentation
bin1001110010000010001101…
…1100111010011000010010
31102002012000212220000022200
42130200203130322120102
52402203113340002043
634512511205344030
72160015464116221
oct234404334723022
942065025800280
1010755192890898
113477284aaa535
121258518408016
1360029715c291
142927a86b6cb8
15139b796e97d3
hex9c82373a612

10755192890898 has 96 divisors (see below), whose sum is σ = 24161120256000. Its totient is φ = 3454076066400.

The previous prime is 10755192890833. The next prime is 10755192890941. The reversal of 10755192890898 is 89809829155701.

10755192890898 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 519 + 28 + 9 + 0 + 89 + 8 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 211528563 + ... + 211579401.

It is an arithmetic number, because the mean of its divisors is an integer number (251678336000).

Almost surely, 210755192890898 is an apocalyptic number.

10755192890898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10755192890898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080560128000).

10755192890898 is an abundant number, since it is smaller than the sum of its proper divisors (13405927365102).

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

10755192890898 is a wasteful number, since it uses less digits than its factorization.

10755192890898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52548 (or 52545 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 72.

The spelling of 10755192890898 in words is "ten trillion, seven hundred fifty-five billion, one hundred ninety-two million, eight hundred ninety thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 271 279 542 558 813 1399 1626 2439 2798 4197 4878 8394 8401 12591 16802 25182 25203 43369 50406 50839 75609 86738 101678 130107 151218 152517 260214 305034 379129 390321 457551 758258 780642 915102 1137387 1576009 2274774 3152018 3412161 4728027 6824322 9456054 11752999 13777369 14184081 23505998 27554738 28368162 35258997 41332107 70517994 71123761 82664214 105776991 123996321 142247522 211553982 213371283 247992642 426742566 427098439 640113849 854196878 1280227698 1281295317 2204836591 2562590634 3843885951 4409673182 6614509773 7687771902 13229019546 19274539231 19843529319 38549078462 39687058638 57823617693 115647235386 173470853079 346941706158 597510716161 1195021432322 1792532148483 3585064296966 5377596445449 10755192890898