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118532849796 = 22343126172
BaseRepresentation
bin110111001100100011…
…0111100000010000100
3102022221202110122210000
41232121012330002010
53420223402143141
6130241522201300
711364232412364
oct1563106740204
9368852418700
10118532849796
11462a6781499
121ab804b3230
13b24025725a
145a465549a4
15313b2995b6
hex1b991bc084

118532849796 has 135 divisors (see below), whose sum is σ = 320706259797. Its totient is φ = 38174431680.

The previous prime is 118532849767. The next prime is 118532849807. The reversal of 118532849796 is 697948235811.

The square root of 118532849796 is 344286.

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

118532849796 is a `hidden beast` number, since 1 + 1 + 8 + 53 + 2 + 8 + 497 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3432788100 + 115100061696 = 58590^2 + 339264^2 .

It is a super-2 number, since 2×1185328497962 (a number of 23 digits) contains 22 as substring.

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, 192111280 + ... + 192111896.

Almost surely, 2118532849796 is an apocalyptic number.

118532849796 is the 344286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118532849796

118532849796 is an abundant number, since it is smaller than the sum of its proper divisors (202173410001).

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

118532849796 is an frugal number, since it uses more digits than its factorization.

118532849796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 653 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 118532849796 in words is "one hundred eighteen billion, five hundred thirty-two million, eight hundred forty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 617 837 961 1116 1234 1674 1851 1922 2468 2511 2883 3348 3702 3844 5022 5553 5766 7404 8649 10044 11106 11532 16659 17298 19127 22212 25947 33318 34596 38254 49977 51894 57381 66636 76508 77841 99954 103788 114762 155682 172143 199908 229524 311364 344286 380689 516429 592937 688572 761378 1032858 1142067 1185874 1522756 1549287 1778811 2065716 2284134 2371748 3098574 3426201 3557622 4568268 5336433 6197148 6852402 7115244 10278603 10672866 11801359 13704804 16009299 20557206 21345732 23602718 30835809 32018598 35404077 41114412 47205436 48027897 61671618 64037196 70808154 96055794 106212231 123343236 141616308 192111588 212424462 318636693 365842129 424848924 637273386 731684258 955910079 1097526387 1274546772 1463368516 1911820158 2195052774 3292579161 3823640316 4390105548 6585158322 9877737483 13170316644 19755474966 29633212449 39510949932 59266424898 118532849796