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1665893328 = 2431137269317
BaseRepresentation
bin110001101001011…
…1000001111010000
311022002200011000220
41203102320033100
511402432041303
6433145513040
756165600601
oct14322701720
94262604026
101665893328
11785398350
123a5aa2780
132071972c8
1411b367da8
159b3b8053
hex634b83d0

1665893328 has 160 divisors (see below), whose sum is σ = 4854867840. Its totient is φ = 487802880.

The previous prime is 1665893323. The next prime is 1665893351. The reversal of 1665893328 is 8233985661.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1665893321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5255026 + ... + 5255342.

It is an arithmetic number, because the mean of its divisors is an integer number (30342924).

Almost surely, 21665893328 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 1665893328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427433920).

1665893328 is an abundant number, since it is smaller than the sum of its proper divisors (3188974512).

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

1665893328 is a wasteful number, since it uses less digits than its factorization.

1665893328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 1665893328 is about 40815.3565217799. The cubic root of 1665893328 is about 1185.4476942515.

The spelling of 1665893328 in words is "one billion, six hundred sixty-five million, eight hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 269 296 317 407 444 528 538 592 634 807 814 888 951 1076 1221 1268 1614 1628 1776 1902 2152 2442 2536 2959 3228 3256 3487 3804 4304 4884 5072 5918 6456 6512 6974 7608 8877 9768 9953 10461 11729 11836 12912 13948 15216 17754 19536 19906 20922 23458 23672 27896 29859 35187 35508 39812 41844 46916 47344 55792 59718 70374 71016 79624 83688 85273 93832 109483 119436 129019 140748 142032 159248 167376 170546 187664 218966 238872 255819 258038 281496 328449 341092 387057 437932 477744 511638 516076 562992 656898 682184 774114 875864 938003 1023276 1032152 1313796 1364368 1548228 1751728 1876006 2046552 2064304 2627592 2814009 3096456 3155101 3752012 4093104 5255184 5628018 6192912 6310202 7504024 9465303 11256036 12620404 15008048 18930606 22512072 25240808 34706111 37861212 45024144 50481616 69412222 75722424 104118333 138824444 151444848 208236666 277648888 416473332 555297776 832946664 1665893328