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6641598016 = 266121672
BaseRepresentation
bin1100010111101111…
…01011111001000000
3122010212100010200201
412023313223321000
5102100222114031
63015012254544
7323404436344
oct61367537100
918125303621
106641598016
1128a9010989
121354311454
1381ac9a671
14470103624
1528d120d61
hex18bdebe40

6641598016 has 63 divisors (see below), whose sum is σ = 13479733137. Its totient is φ = 3246800640.

The previous prime is 6641598011. The next prime is 6641598023. The reversal of 6641598016 is 6108951466.

The square root of 6641598016 is 81496.

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

It can be written as a sum of positive squares in only one way, i.e., 215972416 + 6425625600 = 14696^2 + 80160^2 .

It is a super-2 number, since 2×66415980162 = 88221648412270272512, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6641598011) 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, 39769965 + ... + 39770131.

Almost surely, 26641598016 is an apocalyptic number.

6641598016 is the 81496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6641598016

6641598016 is an abundant number, since it is smaller than the sum of its proper divisors (6838135121).

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

6641598016 is an frugal number, since it uses more digits than its factorization.

6641598016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The cubic root of 6641598016 is about 1879.7100443117.

The spelling of 6641598016 in words is "six billion, six hundred forty-one million, five hundred ninety-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 167 244 334 488 668 976 1336 1952 2672 3721 3904 5344 7442 10187 10688 14884 20374 27889 29768 40748 55778 59536 81496 111556 119072 162992 223112 238144 325984 446224 621407 651968 892448 1242814 1701229 1784896 2485628 3402458 4971256 6804916 9942512 13609832 19885024 27219664 39770048 54439328 103774969 108878656 207549938 415099876 830199752 1660399504 3320799008 6641598016