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133661897604 = 223419210692
BaseRepresentation
bin111110001111011011…
…1101011001110000100
3110210000010102220210000
41330132313223032010
54142214421210404
6141223050201300
712441160245444
oct1743667531604
9423003386700
10133661897604
115175a724a94
1221aa3123230
13c7b1747551
14667d96c124
1537245a0339
hex1f1edeb384

133661897604 has 135 divisors (see below), whose sum is σ = 369122270517. Its totient is φ = 42169535712.

The previous prime is 133661897543. The next prime is 133661897657. The reversal of 133661897604 is 406798166331.

It is a happy number.

The square root of 133661897604 is 365598.

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

133661897604 is a `hidden beast` number, since 13 + 3 + 6 + 6 + 18 + 9 + 7 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62501000004 + 71160897600 = 250002^2 + 266760^2 .

It is a super-2 number, since 2×1336618976042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 125033982 + ... + 125035050.

Almost surely, 2133661897604 is an apocalyptic number.

133661897604 is the 365598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133661897604

133661897604 is an abundant number, since it is smaller than the sum of its proper divisors (235460372913).

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

133661897604 is an equidigital number, since it uses as much as digits as its factorization.

133661897604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 133661897604 in words is "one hundred thirty-three billion, six hundred sixty-one million, eight hundred ninety-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1069 1083 1444 1539 2052 2138 2166 3078 3207 3249 4276 4332 6156 6414 6498 9621 9747 12828 12996 19242 19494 20311 28863 29241 38484 38988 40622 57726 58482 60933 81244 86589 115452 116964 121866 173178 182799 243732 346356 365598 385909 548397 731196 771818 1096794 1142761 1157727 1543636 1645191 2193588 2285522 2315454 3290382 3428283 3473181 4571044 4630908 6580764 6856566 6946362 10284849 10419543 13713132 13892724 20569698 20839086 21712459 30854547 31258629 41139396 41678172 43424918 61709094 62517258 65137377 86849836 92563641 123418188 125034516 130274754 185127282 195412131 260549508 370254564 390824262 412536721 586236393 781648524 825073442 1172472786 1237610163 1650146884 1758709179 2344945572 2475220326 3517418358 3712830489 4950440652 7034836716 7425660978 11138491467 14851321956 22276982934 33415474401 44553965868 66830948802 133661897604