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618980283009 = 381128832
BaseRepresentation
bin10010000000111100001…
…10011001001010000001
32012011200210121100000000
421000132012121022001
540120132423024014
61152204451350213
762501623411044
oct11003606311201
92164623540000
10618980283009
11219565262100
129bb672b2369
13464a5cb35ba
1421d5cd68c5b
151117b310509
hex901e199281

618980283009 has 81 divisors (see below), whose sum is σ = 1021655312769. Its totient is φ = 374714718840.

The previous prime is 618980283001. The next prime is 618980283023. The reversal of 618980283009 is 900382089816.

It is a happy number.

The square root of 618980283009 is 786753.

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

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 618980283009 - 23 = 618980283001 is a prime.

It is a super-6 number, since 6×6189802830096 (a number of 72 digits) contains 666666 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (618980283001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 700996482 + ... + 700997364.

Almost surely, 2618980283009 is an apocalyptic number.

618980283009 is the 786753-rd square number.

618980283009 is the 393377-th centered octagonal number.

It is an amenable number.

618980283009 is a deficient number, since it is larger than the sum of its proper divisors (402675029760).

618980283009 is an frugal number, since it uses more digits than its factorization.

618980283009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 618980283009 in words is "six hundred eighteen billion, nine hundred eighty million, two hundred eighty-three thousand, nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 883 891 1089 2187 2649 2673 3267 6561 7947 8019 9713 9801 23841 24057 29139 29403 71523 72171 87417 88209 106843 214569 262251 264627 320529 643707 779689 786753 793881 961587 1931121 2339067 2360259 2884761 5793363 7017201 7080777 8576579 8654283 21051603 21242331 25729737 25962849 63154809 63726993 77189211 77888547 94342369 189464427 231567633 233665641 283027107 568393281 694702899 700996923 849081321 1705179843 2084108697 2547243963 5115539529 6252326091 7641731889 18756978273 22925195667 56270934819 68775587001 206326761003 618980283009