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133580574720 = 212325724721
BaseRepresentation
bin111110001101000000…
…1011101000000000000
3110202210110102021202100
41330122001131000000
54142033111342340
6141211023150400
712436152102465
oct1743201350000
9422713367670
10133580574720
115171882a99a
1221a7ba45400
13c79a942cb8
146672c3d66c
15371c389830
hex1f1a05d000

133580574720 has 156 divisors (see below), whose sum is σ = 463023436356. Its totient is φ = 35621437440.

The previous prime is 133580574713. The next prime is 133580574761. The reversal of 133580574720 is 27475085331.

133580574720 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 8 + 0 + 574 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28417867776 + 105162706944 = 168576^2 + 324288^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178041 + ... + 546680.

It is an arithmetic number, because the mean of its divisors is an integer number (2968098951).

Almost surely, 2133580574720 is an apocalyptic number.

133580574720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133580574720 is an abundant number, since it is smaller than the sum of its proper divisors (329442861636).

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

133580574720 is an equidigital number, since it uses as much as digits as its factorization.

133580574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724756 (or 724731 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 133580574720 in words is "one hundred thirty-three billion, five hundred eighty million, five hundred seventy-four thousand, seven hundred twenty".

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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 61440 92160 184320 724721 1449442 2174163 2898884 3623605 4348326 5797768 6522489 7247210 8696652 10870815 11595536 13044978 14494420 17393304 21741630 23191072 26089956 28988840 32612445 34786608 43483260 46382144 52179912 57977680 65224890 69573216 86966520 92764288 104359824 115955360 130449780 139146432 173933040 185528576 208719648 231910720 260899560 278292864 347866080 371057152 417439296 463821440 521799120 556585728 695732160 742114304 834878592 927642880 1043598240 1113171456 1391464320 1484228608 1669757184 1855285760 2087196480 2226342912 2782928640 2968457216 3339514368 3710571520 4174392960 4452685824 5565857280 6679028736 7421143040 8348785920 8905371648 11131714560 13358057472 14842286080 16697571840 22263429120 26716114944 33395143680 44526858240 66790287360 133580574720