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136571264640 = 2732523710289
BaseRepresentation
bin111111100110001001…
…0000001111010000000
3111001111212221002001200
41333030102001322000
54214144220432030
6142423500101200
712603235411206
oct1771422017200
9431455832050
10136571264640
1152a12a11558
1222575534800
13cb564179c5
146878101076
153844bded60
hex1fcc481e80

136571264640 has 96 divisors (see below), whose sum is σ = 471597668100. Its totient is φ = 36419002368.

The previous prime is 136571264581. The next prime is 136571264653. The reversal of 136571264640 is 46462175631.

136571264640 is a `hidden beast` number, since 1 + 3 + 65 + 7 + 126 + 464 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114693304896 + 21877959744 = 338664^2 + 147912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11849385 + ... + 11860904.

Almost surely, 2136571264640 is an apocalyptic number.

136571264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136571264640 is an abundant number, since it is smaller than the sum of its proper divisors (335026403460).

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

136571264640 is a wasteful number, since it uses less digits than its factorization.

136571264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23710314 (or 23710299 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 136571264640 in words is "one hundred thirty-six billion, five hundred seventy-one million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 23710289 47420578 71130867 94841156 118551445 142261734 189682312 213392601 237102890 284523468 355654335 379364624 426785202 474205780 569046936 711308670 758729248 853570404 948411560 1066963005 1138093872 1422617340 1517458496 1707140808 1896823120 2133926010 2276187744 2845234680 3034916992 3414281616 3793646240 4267852020 4552375488 5690469360 6828563232 7587292480 8535704040 9104750976 11380938720 13657126464 15174584960 17071408080 22761877440 27314252928 34142816160 45523754880 68285632320 136571264640