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1655065664 = 2676171853
BaseRepresentation
bin110001010100110…
…0100110001000000
311021100022001021022
41202221210301000
511342144100124
6432121445012
756004553220
oct14251446100
94240261238
101655065664
1177a27236a
123a2340768
13204b75ac5
14119b4a080
159a479c5e
hex62a64c40

1655065664 has 112 divisors (see below), whose sum is σ = 3873252096. Its totient is φ = 687052800.

The previous prime is 1655065631. The next prime is 1655065681. The reversal of 1655065664 is 4665605561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1939862 + ... + 1940714.

It is an arithmetic number, because the mean of its divisors is an integer number (34582608).

Almost surely, 21655065664 is an apocalyptic number.

1655065664 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 1655065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936626048).

1655065664 is an abundant number, since it is smaller than the sum of its proper divisors (2218186432).

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

1655065664 is an equidigital number, since it uses as much as digits as its factorization.

1655065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The square root of 1655065664 is about 40682.4982517052. The cubic root of 1655065664 is about 1182.8737921418.

The spelling of 1655065664 in words is "one billion, six hundred fifty-five million, sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 71 112 122 142 224 244 284 427 448 488 497 568 853 854 976 994 1136 1706 1708 1952 1988 2272 3412 3416 3904 3976 4331 4544 5971 6824 6832 7952 8662 11942 13648 13664 15904 17324 23884 27296 27328 30317 31808 34648 47768 52033 54592 60563 60634 69296 95536 104066 121126 121268 138592 191072 208132 242252 242536 277184 364231 382144 416264 423941 484504 485072 728462 832528 847882 969008 970144 1456924 1665056 1695764 1938016 1940288 2913848 3330112 3391528 3694343 3876032 5827696 6783056 7388686 11655392 13566112 14777372 23310784 25860401 27132224 29554744 51720802 59109488 103441604 118218976 206883208 236437952 413766416 827532832 1655065664