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132134262025050 = 232521014196938531
BaseRepresentation
bin11110000010110011100111…
…110000000010101101011010
3122022211220121220112200121100
4132002303213300002231122
5114304341432034300200
61145005350400052230
736555246122455065
oct3602634760025532
9568756556480540
10132134262025050
113911390a1a869a
12129a0609004076
1358962909a569c
14248b4921978dc
1510421ae66bd00
hex782ce7c02b5a

132134262025050 has 144 divisors (see below), whose sum is σ = 359371273453920. Its totient is φ = 34803666480000.

The previous prime is 132134262025049. The next prime is 132134262025067. The reversal of 132134262025050 is 50520262431231.

132134262025050 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 4 + 2 + 620 + 25 + 0 + 5 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132134262024996 and 132134262025014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15574285 + ... + 22512815.

It is an arithmetic number, because the mean of its divisors is an integer number (2495633843430).

Almost surely, 2132134262025050 is an apocalyptic number.

132134262025050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132134262025050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179685636726960).

132134262025050 is an abundant number, since it is smaller than the sum of its proper divisors (227237011428870).

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

132134262025050 is a wasteful number, since it uses less digits than its factorization.

132134262025050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939069 (or 6939061 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 132134262025050 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, two hundred sixty-two million, twenty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 419 450 505 606 838 909 1010 1257 1515 1818 2095 2514 2525 3030 3771 4190 4545 5050 6285 7542 7575 9090 10475 12570 15150 18855 20950 22725 31425 37710 42319 45450 62850 84638 94275 126957 188550 211595 253914 380871 423190 634785 761742 1057975 1269570 1904355 2115950 3173925 3808710 6347850 6938531 9521775 13877062 19043550 20815593 34692655 41631186 62446779 69385310 104077965 124893558 173463275 208155930 312233895 346926550 520389825 624467790 700791631 1040779650 1401583262 1561169475 2102374893 2907244489 3122338950 3503958155 4204749786 5814488978 6307124679 7007916310 8721733467 10511874465 12614249358 14536222445 17443466934 17519790775 21023748930 26165200401 29072444890 31535623395 35039581550 43608667335 52330400802 52559372325 63071246790 72681112225 87217334670 105118744650 130826002005 145362224450 157678116975 218043336675 261652004010 293631693389 315356233950 436086673350 587263386778 654130010025 880895080167 1308260020050 1468158466945 1761790160334 2642685240501 2936316933890 4404475400835 5285370481002 7340792334725 8808950801670 13213426202505 14681584669450 22022377004175 26426852405010 44044754008350 66067131012525 132134262025050