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1641672144 = 243374113241
BaseRepresentation
bin110000111011001…
…1110110111010000
311020102002120211000
41201312132313100
511330232002034
6430522422000
755452661110
oct14166366720
94212076730
101641672144
11772754642
12399961900
13202166748
14118061040
15991d1599
hex61d9edd0

1641672144 has 160 divisors (see below), whose sum is σ = 5517146880. Its totient is φ = 457574400.

The previous prime is 1641672091. The next prime is 1641672157. The reversal of 1641672144 is 4412761461.

It is a happy number.

1641672144 is a `hidden beast` number, since 1 + 641 + 6 + 7 + 2 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1641672099 and 1641672108.

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 31 ways as a sum of consecutive naturals, for example, 117364 + ... + 130604.

It is an arithmetic number, because the mean of its divisors is an integer number (34482168).

Almost surely, 21641672144 is an apocalyptic number.

1641672144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641672144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758573440).

1641672144 is an abundant number, since it is smaller than the sum of its proper divisors (3875474736).

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

1641672144 is a wasteful number, since it uses less digits than its factorization.

1641672144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13306 (or 13294 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1641672144 is about 40517.5535293038. The cubic root of 1641672144 is about 1179.6743676783.

The spelling of 1641672144 in words is "one billion, six hundred forty-one million, six hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1722 1968 2214 2296 2583 2952 3024 3444 4428 4592 5166 5904 6888 7749 8856 10332 13241 13776 15498 17712 20664 26482 30996 39723 41328 52964 61992 79446 92687 105928 119169 123984 158892 185374 211856 238338 278061 317784 357507 370748 476676 542881 556122 635568 715014 741496 834183 953352 1085762 1112244 1430028 1482992 1628643 1668366 1906704 2171524 2224488 2502549 2860056 3257286 3336732 3800167 4343048 4448976 4885929 5005098 5720112 6514572 6673464 7600334 8686096 9771858 10010196 11400501 13029144 13346928 14657787 15200668 19543716 20020392 22801002 26058288 29315574 30401336 34201503 39087432 40040784 45602004 58631148 60802672 68403006 78174864 91204008 102604509 117262296 136806012 182408016 205209018 234524592 273612024 410418036 547224048 820836072 1641672144