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198841246827664 = 24725036112
BaseRepresentation
bin101101001101100001010101…
…111000100100010010010000
3222002001001000101002220002211
4231031201111320210102100
5202030303333141441124
61542522224023321504
756611543314003400
oct5515412570442220
9862031011086084
10198841246827664
11583a2110065391
121a3749232b0294
1386c485916539c
143715d79506800
1517ec4b5575e94
hexb4d855e24490

198841246827664 has 45 divisors (see below), whose sum is σ = 448154567362611. Its totient is φ = 85217507998560.

The previous prime is 198841246827563. The next prime is 198841246827667. The reversal of 198841246827664 is 466728642148891.

The square root of 198841246827664 is 14101108.

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

It is a super-3 number, since 3×1988412468276643 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198841246827667) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 394579219 + ... + 395082829.

Almost surely, 2198841246827664 is an apocalyptic number.

198841246827664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

198841246827664 is the 14101108-th square number.

It is an amenable number.

198841246827664 is an abundant number, since it is smaller than the sum of its proper divisors (249313320534947).

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

198841246827664 is an frugal number, since it uses more digits than its factorization.

198841246827664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007244 (or 503620 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 76.

The spelling of 198841246827664 in words is "one hundred ninety-eight trillion, eight hundred forty-one billion, two hundred forty-six million, eight hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 503611 1007222 2014444 3525277 4028888 7050554 8057776 14101108 24676939 28202216 49353878 56404432 98707756 197415512 394831024 253624039321 507248078642 1014496157284 1775368275247 2028992314568 3550736550494 4057984629136 7101473100988 12427577926729 14202946201976 24855155853458 28405892403952 49710311706916 99420623413832 198841246827664