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132333476563660 = 225195925932276311
BaseRepresentation
bin11110000101101101001001…
…110111001100101011001100
3122100112221211111211210122011
4132011231021313030223030
5114321122430000014120
61145241054311031004
736605530625220151
oct3605551167145314
9570487744753564
10132333476563660
1139190348659049
1212a1314566b464
1358abcbb3622b8
142496d8dc16228
15104746db8bc5a
hex785b49dccacc

132333476563660 has 96 divisors (see below), whose sum is σ = 297599567731200. Its totient is φ = 49278432983040.

The previous prime is 132333476563627. The next prime is 132333476563703. The reversal of 132333476563660 is 66365674333231.

It is a super-3 number, since 3×1323334765636603 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132333476563595 and 132333476563604.

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, 56996905 + ... + 59273215.

It is an arithmetic number, because the mean of its divisors is an integer number (3099995497200).

Almost surely, 2132333476563660 is an apocalyptic number.

132333476563660 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 132333476563660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148799783865600).

132333476563660 is an abundant number, since it is smaller than the sum of its proper divisors (165266091167540).

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

132333476563660 is a wasteful number, since it uses less digits than its factorization.

132333476563660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278991 (or 2278989 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 58.

The spelling of 132333476563660 in words is "one hundred thirty-two trillion, three hundred thirty-three billion, four hundred seventy-six million, five hundred sixty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 2242 2593 4484 5186 5605 10372 11210 12965 22420 25930 49267 51860 98534 152987 197068 246335 305974 492670 611948 764935 985340 1529870 2276311 2906753 3059740 4552622 5813506 9105244 11381555 11627012 14533765 22763110 29067530 43249909 45526220 58135060 86499818 134302349 172999636 216249545 268604698 432499090 537209396 671511745 864998180 1343023490 2551744631 2686046980 5103489262 5902474423 10206978524 11804948846 12758723155 23609897692 25517446310 29512372115 51034892620 59024744230 112147014037 118049488460 224294028074 348245990957 448588056148 560735070185 696491981914 1121470140370 1392983963828 1741229954785 2242940280740 3482459909570 6616673828183 6964919819140 13233347656366 26466695312732 33083369140915 66166738281830 132333476563660