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132697483185312 = 2534137373686253
BaseRepresentation
bin11110001011000000001010…
…010110010000110010100000
3122101211202101202112002210000
4132023000022112100302200
5114343103421143412222
61150120214320140000
736644035223363103
oct3613001226206240
9571752352462700
10132697483185312
1139310760929571
1212a717b2767600
13590741ba1a716
1424aa8419a673a
151051b756d09ac
hex78b00a590ca0

132697483185312 has 120 divisors (see below), whose sum is σ = 393108223365396. Its totient is φ = 43909629355008.

The previous prime is 132697483185287. The next prime is 132697483185331. The reversal of 132697483185312 is 213581384796231.

132697483185312 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 9 + 7 + 4 + 83 + 18 + 531 + 2 = 666.

132697483185312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131965780868496 + 731702316816 = 11487636^2 + 855396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132697483185312.

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 19 ways as a sum of consecutive naturals, for example, 186488023 + ... + 187198230.

Almost surely, 2132697483185312 is an apocalyptic number.

132697483185312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132697483185312 is an abundant number, since it is smaller than the sum of its proper divisors (260410740180084).

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

132697483185312 is a wasteful number, since it uses less digits than its factorization.

132697483185312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373686412 (or 373686395 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 132697483185312 in words is "one hundred thirty-two trillion, six hundred ninety-seven billion, four hundred eighty-three million, one hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 274 288 324 411 432 548 648 822 864 1096 1233 1296 1644 2192 2466 2592 3288 3699 4384 4932 6576 7398 9864 11097 13152 14796 19728 22194 29592 39456 44388 59184 88776 118368 177552 355104 373686253 747372506 1121058759 1494745012 2242117518 2989490024 3363176277 4484235036 5978980048 6726352554 8968470072 10089528831 11957960096 13452705108 17936940144 20179057662 26905410216 30268586493 35873880288 40358115324 51195016661 53810820432 60537172986 80716230648 102390033322 107621640864 121074345972 153585049983 161432461296 204780066644 242148691944 307170099966 322864922592 409560133288 460755149949 484297383888 614340199932 819120266576 921510299898 968594767776 1228680399864 1382265449847 1638240533152 1843020599796 2457360799728 2764530899694 3686041199592 4146796349541 4914721599456 5529061799388 7372082399184 8293592699082 11058123598776 14744164798368 16587185398164 22116247197552 33174370796328 44232494395104 66348741592656 132697483185312