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998668443556 = 227241217412
BaseRepresentation
bin11101000100001010100…
…01110001111110100100
310112110201220212100102201
432202011101301332210
5112330233110143211
62042440522344244
7132102635465200
oct16420521617644
93473656770381
10998668443556
11355595334923
1214167005b084
1373235462314
143649b66db00
151ae9e8e10c1
hexe885471fa4

998668443556 has 81 divisors (see below), whose sum is σ = 2084996057571. Its totient is φ = 417321878400.

The previous prime is 998668443541. The next prime is 998668443557. The reversal of 998668443556 is 655344866899.

The square root of 998668443556 is 999334.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 935023245156 + 63645198400 = 966966^2 + 252280^2 .

It is not an unprimeable number, because it can be changed into a prime (998668443557) 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 26 ways as a sum of consecutive naturals, for example, 573616846 + ... + 573618586.

Almost surely, 2998668443556 is an apocalyptic number.

998668443556 is the 999334-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998668443556

998668443556 is an abundant number, since it is smaller than the sum of its proper divisors (1086327614015).

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

998668443556 is an equidigital number, since it uses as much as digits as its factorization.

998668443556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 1791 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 73.

The spelling of 998668443556 in words is "nine hundred ninety-eight billion, six hundred sixty-eight million, four hundred forty-three thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 574 1148 1681 1741 2009 3362 3482 4018 6724 6964 8036 11767 12187 23534 24374 47068 48748 71381 82369 85309 142762 164738 170618 285524 329476 341236 499667 999334 1998668 2926621 3031081 3497669 5853242 6062162 6995338 11706484 12124324 13990676 20486347 21217567 40972694 42435134 81945388 84870268 124274321 143404429 148522969 248548642 286808858 297045938 497097284 573617716 594091876 869920247 1739840494 3479680988 5095247161 6089441729 10190494322 12178883458 20380988644 24357766916 35666730127 71333460254 142666920508 249667110889 499334221778 998668443556