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132313278368970 = 232547263118934353
BaseRepresentation
bin11110000101011010010101…
…111101001100110011001010
3122100111000200212101012101100
4132011122111331030303022
5114320310043230301340
61145223514141402230
736604214245335156
oct3605322575146312
9570430625335340
10132313278368970
113918282326a466
1212a0b249269376
1358aa11c8b2cca
142495dd549c066
151046b8a821830
hex785695f4ccca

132313278368970 has 96 divisors (see below), whose sum is σ = 352669855329792. Its totient is φ = 34401523447296.

The previous prime is 132313278368891. The next prime is 132313278368987. The reversal of 132313278368970 is 79863872313231.

132313278368970 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 132 + 78 + 368 + 9 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132313278368898 and 132313278368907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58354687 + ... + 60579666.

It is an arithmetic number, because the mean of its divisors is an integer number (3673644326352).

Almost surely, 2132313278368970 is an apocalyptic number.

132313278368970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132313278368970 is an abundant number, since it is smaller than the sum of its proper divisors (220356576960822).

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

132313278368970 is a wasteful number, since it uses less digits than its factorization.

132313278368970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118934676 (or 118934673 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 132313278368970 in words is "one hundred thirty-two trillion, three hundred thirteen billion, two hundred seventy-eight million, three hundred sixty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 263 282 423 470 526 705 789 846 1315 1410 1578 2115 2367 2630 3945 4230 4734 7890 11835 12361 23670 24722 37083 61805 74166 111249 123610 185415 222498 370830 556245 1112490 118934353 237868706 356803059 594671765 713606118 1070409177 1189343530 1784015295 2140818354 3568030590 5352045885 5589914591 10704091770 11179829182 16769743773 27949572955 31279734839 33539487546 50309231319 55899145910 62559469678 83848718865 93839204517 100618462638 156398674195 167697437730 187678409034 251546156595 281517613551 312797348390 469196022585 503092313190 563035227102 938392045170 1407588067755 1470147537433 2815176135510 2940295074866 4410442612299 7350737687165 8820885224598 13231327836897 14701475374330 22052213061495 26462655673794 44104426122990 66156639184485 132313278368970