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132660035006140 = 225312833831974073
BaseRepresentation
bin11110001010011101010010…
…010000110010111010111100
3122101201011201221011111101001
4132022131102100302322330
5114342000222430144030
61150051102335500044
736641241223201135
oct3612352220627274
9571634657144331
10132660035006140
11392a6894359264
1212a664a1387624
135903a3153c715
1424a8acc298c8c
151050bd2c5dcca
hex78a752432ebc

132660035006140 has 96 divisors (see below), whose sum is σ = 289342521409536. Its totient is φ = 51037183710720.

The previous prime is 132660035006111. The next prime is 132660035006143. The reversal of 132660035006140 is 41600530066231.

It is a self number, because there is not a number n which added to its sum of digits gives 132660035006140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132660035006143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66214144 + ... + 68188216.

It is an arithmetic number, because the mean of its divisors is an integer number (3013984598016).

Almost surely, 2132660035006140 is an apocalyptic number.

132660035006140 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 132660035006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144671260704768).

132660035006140 is an abundant number, since it is smaller than the sum of its proper divisors (156682486403396).

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

132660035006140 is a wasteful number, since it uses less digits than its factorization.

132660035006140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974779 (or 1974777 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 132660035006140 in words is "one hundred thirty-two trillion, six hundred sixty billion, thirty-five million, six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 283 310 383 566 620 766 1132 1415 1532 1915 2830 3830 5660 7660 8773 11873 17546 23746 35092 43865 47492 59365 87730 108389 118730 175460 216778 237460 433556 541945 1083890 1974073 2167780 3360059 3948146 6720118 7896292 9870365 13440236 16800295 19740730 33600590 39481460 61196263 67201180 122392526 244785052 305981315 558662659 611962630 756069959 1117325318 1223925260 1512139918 2234650636 2793313295 3024279836 3780349795 5586626590 7560699590 11173253180 15121399180 17318542429 23438168729 34637084858 46876337458 69274169716 86592712145 93752674916 117190843645 173185424290 213967798397 234381687290 346370848580 427935596794 468763374580 855871193588 1069838991985 2139677983970 4279355967940 6633001750307 13266003500614 26532007001228 33165008751535 66330017503070 132660035006140