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132260034026016 = 253213153123073719
BaseRepresentation
bin11110000100101000110000…
…010110001001101000100000
3122100021221021011202022220100
4132010220300112021220200
5114313422022202313031
61145143230522342400
736600320640025461
oct3604506026115040
9570257234668810
10132260034026016
1139162190217546
1212a00a6995aa00
1358a50b594a230
1424935c3d1cd68
1510455c121ede6
hex784a30589a20

132260034026016 has 144 divisors (see below), whose sum is σ = 405310935032640. Its totient is φ = 40668812398080.

The previous prime is 132260034025997. The next prime is 132260034026047. The reversal of 132260034026016 is 610620430062231.

132260034026016 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 6 + 0 + 0 + 3 + 40 + 2 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5804796 + ... + 17268923.

It is an arithmetic number, because the mean of its divisors is an integer number (2814659271060).

Almost surely, 2132260034026016 is an apocalyptic number.

132260034026016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132260034026016 is an abundant number, since it is smaller than the sum of its proper divisors (273050901006624).

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

132260034026016 is a wasteful number, since it uses less digits than its factorization.

132260034026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23075279 (or 23075268 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 132260034026016 its reverse (610620430062231), we get a palindrome (742880464088247).

The spelling of 132260034026016 in words is "one hundred thirty-two trillion, two hundred sixty billion, thirty-four million, twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1531 1872 3062 3744 4593 6124 9186 12248 13779 18372 19903 24496 27558 36744 39806 48992 55116 59709 73488 79612 110232 119418 146976 159224 179127 220464 238836 318448 358254 440928 477672 636896 716508 955344 1433016 1910688 2866032 5732064 23073719 46147438 69221157 92294876 138442314 184589752 207663471 276884628 299958347 369179504 415326942 553769256 599916694 738359008 830653884 899875041 1107538512 1199833388 1661307768 1799750082 2215077024 2399666776 2699625123 3322615536 3599500164 4799333552 5399250246 6645231072 7199000328 9598667104 10798500492 14398000656 21597000984 28796001312 35325863789 43194001968 70651727578 86388003936 105977591367 141303455156 211955182734 282606910312 317932774101 423910365468 459236229257 565213820624 635865548202 847820730936 918472458514 1130427641248 1271731096404 1377708687771 1695641461872 1836944917028 2543462192808 2755417375542 3391282923744 3673889834056 4133126063313 5086924385616 5510834751084 7347779668112 8266252126626 10173848771232 11021669502168 14695559336224 16532504253252 22043339004336 33065008506504 44086678008672 66130017013008 132260034026016