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132323362523560 = 235131966612010667
BaseRepresentation
bin11110000101100011101111…
…000001001100100110101000
3122100111222201122111022220101
4132011203233001030212220
5114320441221301223220
61145232302532035144
736605022164255605
oct3605435701144650
9570458648438811
10132323362523560
113918702853301a
1212a111a2462ab4
1358ab068b568a0
1424966b08896ac
15104707aca430a
hex7858ef04c9a8

132323362523560 has 128 divisors (see below), whose sum is σ = 337555769443200. Its totient is φ = 46279418895360.

The previous prime is 132323362523543. The next prime is 132323362523669. The reversal of 132323362523560 is 65325263323231.

It is a self number, because there is not a number n which added to its sum of digits gives 132323362523560.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64805347 + ... + 66816013.

It is an arithmetic number, because the mean of its divisors is an integer number (2637154448775).

Almost surely, 2132323362523560 is an apocalyptic number.

132323362523560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323362523560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168777884721600).

132323362523560 is an abundant number, since it is smaller than the sum of its proper divisors (205232406919640).

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

132323362523560 is a wasteful number, since it uses less digits than its factorization.

132323362523560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017371 (or 2017367 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 46.

The spelling of 132323362523560 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, three hundred sixty-two million, five hundred twenty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 4940 6661 9880 13322 26644 33305 53288 66610 86593 126559 133220 173186 253118 266440 346372 432965 506236 632795 692744 865930 1012472 1265590 1645267 1731860 2010667 2531180 3290534 3463720 4021334 5062360 6581068 8042668 8226335 10053335 13162136 16085336 16452670 20106670 26138671 32905340 38202673 40213340 52277342 65810680 76405346 80426680 104554684 130693355 152810692 191013365 209109368 261386710 305621384 382026730 496634749 522773420 764053460 993269498 1045546840 1528106920 1986538996 2483173745 3973077992 4966347490 9932694980 13393052887 19865389960 26786105774 53572211548 66965264435 107144423096 133930528870 174109687531 254468004853 267861057740 348219375062 508936009706 535722115480 696438750124 870548437655 1017872019412 1272340024265 1392877500248 1741096875310 2035744038824 2544680048530 3308084063089 3482193750620 5089360097060 6616168126178 6964387501240 10178720194120 13232336252356 16540420315445 26464672504712 33080840630890 66161681261780 132323362523560