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132582984026080 = 2557707916722371
BaseRepresentation
bin11110001001010101100001…
…101010101000011111100000
3122101102210212010011011012211
4132021111201222220133200
5114334214422402313310
61145551440525531504
736632542640523250
oct3611254152503740
9571383763134184
10132582984026080
1139277145062545
1212a53579113b94
1358c96a237c923
1424a509d055960
15104dbc3613c8a
hex789561aa87e0

132582984026080 has 96 divisors (see below), whose sum is σ = 358024646730240. Its totient is φ = 45450598986240.

The previous prime is 132582984026011. The next prime is 132582984026083. The reversal of 132582984026080 is 80620489285231.

It is a super-2 number, since 2×1325829840260802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132582984026083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432706 + ... + 16289665.

It is an arithmetic number, because the mean of its divisors is an integer number (3729423403440).

Almost surely, 2132582984026080 is an apocalyptic number.

132582984026080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132582984026080 is an abundant number, since it is smaller than the sum of its proper divisors (225441662704160).

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

132582984026080 is a wasteful number, since it uses less digits than its factorization.

132582984026080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16729472 (or 16729464 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 58.

The spelling of 132582984026080 in words is "one hundred thirty-two trillion, five hundred eighty-two billion, nine hundred eighty-four million, twenty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 7079 14158 28316 35395 49553 56632 70790 99106 113264 141580 198212 226528 247765 283160 396424 495530 566320 792848 991060 1132640 1585696 1982120 3964240 7928480 16722371 33444742 66889484 83611855 117056597 133778968 167223710 234113194 267557936 334447420 468226388 535115872 585282985 668894840 936452776 1170565970 1337789680 1872905552 2341131940 2675579360 3745811104 4682263880 9364527760 18729055520 118377664309 236755328618 473510657236 591888321545 828643650163 947021314472 1183776643090 1657287300326 1894042628944 2367553286180 3314574600652 3788085257888 4143218250815 4735106572360 6629149201304 8286436501630 9470213144720 13258298402608 16572873003260 18940426289440 26516596805216 33145746006520 66291492013040 132582984026080