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665200097604 = 22347264732
BaseRepresentation
bin10011010111000010000…
…00111111100101000100
32100120222221100012010000
421223201000333211010
541344312211110404
61225331054401300
766026164352100
oct11534100774504
92316887305100
10665200097604
11237123127989
12a8b06200230
134a960835b13
14242a5604900
1512483da0339
hex9ae103f944

665200097604 has 135 divisors (see below), whose sum is σ = 2023189574637. Its totient is φ = 190027809216.

The previous prime is 665200097593. The next prime is 665200097609. The reversal of 665200097604 is 406790002566.

The square root of 665200097604 is 815598.

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

665200097604 is a `hidden beast` number, since 66 + 520 + 0 + 0 + 9 + 7 + 60 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122255122500 + 542944975104 = 349650^2 + 736848^2 .

It is a super-2 number, since 2×6652000976042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 665200097604.

It is not an unprimeable number, because it can be changed into a prime (665200097609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102762112 + ... + 102768584.

Almost surely, 2665200097604 is an apocalyptic number.

665200097604 is the 815598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665200097604

665200097604 is an abundant number, since it is smaller than the sum of its proper divisors (1357989477033).

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

665200097604 is an frugal number, since it uses more digits than its factorization.

665200097604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12976 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 6652000 and 97604, that added together give a square (6749604 = 25982).

The spelling of 665200097604 in words is "six hundred sixty-five billion, two hundred million, ninety-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 6473 7938 12946 15876 19419 25892 38838 45311 58257 77676 90622 116514 135933 174771 181244 233028 271866 317177 349542 407799 524313 543732 634354 699084 815598 951531 1048626 1223397 1268708 1631196 1903062 2097252 2446794 2854593 3670191 3806124 4893588 5709186 7340382 8563779 11418372 14680764 17127558 25691337 34255116 41899729 51382674 83799458 102765348 125699187 167598916 251398374 293298103 377097561 502796748 586596206 754195122 879894309 1131292683 1173192412 1508390244 1759788618 2053086721 2262585366 2639682927 3393878049 3519577236 4106173442 4525170732 5279365854 6159260163 6787756098 7919048781 8212346884 10558731708 12318520326 13575512196 15838097562 18477780489 23757146343 24637040652 31676195124 36955560978 47514292686 55433341467 73911121956 95028585372 110866682934 166300024401 221733365868 332600048802 665200097604