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132265233874944 = 2193228030657
BaseRepresentation
bin11110000100101101100110…
…010010000000000000000000
3122100022102200120012000122200
4132010231212102000000000
5114314013144332444234
61145145450513233200
736600563540021052
oct3604554622000000
9570272616160580
10132265233874944
1139164409413a55
1212a01a7b262800
1358a573400c411
1424939587638d2
1510457c79a0d99
hex784b66480000

132265233874944 has 120 divisors (see below), whose sum is σ = 382099213760550. Its totient is φ = 44088409718784.

The previous prime is 132265233874919. The next prime is 132265233874957. The reversal of 132265233874944 is 449478332562231.

132265233874944 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 6 + 523 + 38 + 74 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77111440441344 + 55153793433600 = 8781312^2 + 7426560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9296737 + ... + 18733920.

Almost surely, 2132265233874944 is an apocalyptic number.

It is an amenable number.

132265233874944 is an abundant number, since it is smaller than the sum of its proper divisors (249833979885606).

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

132265233874944 is an frugal number, since it uses more digits than its factorization.

132265233874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28030701 (or 28030662 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 132265233874944 in words is "one hundred thirty-two trillion, two hundred sixty-five billion, two hundred thirty-three million, eight hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 32768 36864 49152 65536 73728 98304 131072 147456 196608 262144 294912 393216 524288 589824 786432 1179648 1572864 2359296 4718592 28030657 56061314 84091971 112122628 168183942 224245256 252275913 336367884 448490512 504551826 672735768 896981024 1009103652 1345471536 1793962048 2018207304 2690943072 3587924096 4036414608 5381886144 7175848192 8072829216 10763772288 14351696384 16145658432 21527544576 28703392768 32291316864 43055089152 57406785536 64582633728 86110178304 114813571072 129165267456 172220356608 229627142144 258330534912 344440713216 459254284288 516661069824 688881426432 918508568576 1033322139648 1377762852864 1837017137152 2066644279296 2755525705728 3674034274304 4133288558592 5511051411456 7348068548608 8266577117184 11022102822912 14696137097216 16533154234368 22044205645824 33066308468736 44088411291648 66132616937472 132265233874944