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1641799104 = 263111276121
BaseRepresentation
bin110000111011011…
…1101110111000000
311020102100000222020
41201312331313000
511330300032404
6430525241440
755454030211
oct14166756700
94212300866
101641799104
11772830a70
12399a03280
132021ac47a
14118095408
1599208ed9
hex61dbddc0

1641799104 has 112 divisors (see below), whose sum is σ = 4776923136. Its totient is φ = 493516800.

The previous prime is 1641799097. The next prime is 1641799129. The reversal of 1641799104 is 4019971461.

It is a super-3 number, since 3×16417991043 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265164 + ... + 271284.

Almost surely, 21641799104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388461568).

1641799104 is an abundant number, since it is smaller than the sum of its proper divisors (3135124032).

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

1641799104 is a wasteful number, since it uses less digits than its factorization.

1641799104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1641799104 is about 40519.1202273692. The cubic root of 1641799104 is about 1179.7047772412.

It can be divided in two parts, 1641 and 799104, that added together give a triangular number (800745 = T1265).

The spelling of 1641799104 in words is "one billion, six hundred forty-one million, seven hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 132 176 192 254 264 352 381 508 528 704 762 1016 1056 1397 1524 2032 2112 2794 3048 4064 4191 5588 6096 6121 8128 8382 11176 12192 12242 16764 18363 22352 24384 24484 33528 36726 44704 48968 67056 67331 73452 89408 97936 134112 134662 146904 195872 201993 268224 269324 293808 391744 403986 538648 587616 777367 807972 1077296 1175232 1554734 1615944 2154592 2332101 3109468 3231888 4309184 4664202 6218936 6463776 8551037 9328404 12437872 12927552 17102074 18656808 24875744 25653111 34204148 37313616 49751488 51306222 68408296 74627232 102612444 136816592 149254464 205224888 273633184 410449776 547266368 820899552 1641799104