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132805483036002 = 23477314291122659
BaseRepresentation
bin11110001100100100101111…
…101000111111110101100010
3122102020002011110021222010000
4132030210233220333311202
5114401341112124123002
61150241555135520430
736654610450100340
oct3614445750776542
9572202143258100
10132805483036002
1139352541a3a917
1212a8a713689116
135914670a1a30a
1424b1b69292990
151054896dd661c
hex78c92fa3fd62

132805483036002 has 160 divisors (see below), whose sum is σ = 344994855004800. Its totient is φ = 37398414396672.

The previous prime is 132805483035991. The next prime is 132805483036003. The reversal of 132805483036002 is 200630384508231.

132805483036002 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 0 + 5 + 4 + 8 + 30 + 3 + 600 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (132805483036003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117734149 + ... + 118856807.

It is an arithmetic number, because the mean of its divisors is an integer number (2156217843780).

Almost surely, 2132805483036002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132805483036002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172497427502400).

132805483036002 is an abundant number, since it is smaller than the sum of its proper divisors (212189371968798).

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

132805483036002 is a wasteful number, since it uses less digits than its factorization.

132805483036002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124182 (or 1124173 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 132805483036002 in words is "one hundred thirty-two trillion, eight hundred five billion, four hundred eighty-three million, thirty-six thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 146 162 189 219 378 438 511 567 657 1022 1134 1314 1429 1533 1971 2858 3066 3942 4287 4599 5913 8574 9198 10003 11826 12861 13797 20006 25722 27594 30009 38583 41391 60018 77166 82782 90027 104317 115749 180054 208634 231498 270081 312951 540162 625902 730219 810243 938853 1122659 1460438 1620486 1877706 2190657 2245318 2816559 3367977 4381314 5633118 6571971 6735954 7858613 8449677 10103931 13143942 15717226 16899354 19715913 20207862 23575839 30311793 39431826 47151678 59147739 60623586 70727517 81954107 90935379 118295478 141455034 163908214 181870758 212182551 245862321 424365102 491724642 573678749 636547653 737586963 1147357498 1273095306 1475173926 1604279711 1721036247 2212760889 3208559422 3442072494 4425521778 4812839133 5163108741 6638282667 9625678266 10326217482 11229957977 13276565334 14438517399 15489326223 22459915954 28877034798 30978652446 33689873931 43315552197 46467978669 67379747862 86631104394 92935957338 101069621793 117112418903 129946656591 202139243586 234224837806 259893313182 303208865379 351337256709 606417730758 702674513418 819786932321 909626596137 1054011770127 1639573864642 1819253192274 2108023540254 2459360796963 3162035310381 4918721593926 6324070620762 7378082390889 9486105931143 14756164781778 18972211862286 22134247172667 44268494345334 66402741518001 132805483036002