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132220134122670 = 232511786716976699
BaseRepresentation
bin11110000100000011100110…
…001000000110010010101110
3122100011010021111001020012100
4132010003212020012102232
5114312243313313411140
61145113031401115530
736564406116321606
oct3604034610062256
9570133244036170
10132220134122670
1139147275816610
12129b5193488ba6
1358a13c7543479
1424916bab69c06
15104453840b530
hex7840e62064ae

132220134122670 has 96 divisors (see below), whose sum is σ = 375072073084800. Its totient is φ = 32049289552320.

The previous prime is 132220134122669. The next prime is 132220134122683. The reversal of 132220134122670 is 76221431022231.

132220134122670 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 20 + 1 + 341 + 226 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700020 + ... + 16276679.

It is an arithmetic number, because the mean of its divisors is an integer number (3907000761300).

Almost surely, 2132220134122670 is an apocalyptic number.

132220134122670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132220134122670 is an abundant number, since it is smaller than the sum of its proper divisors (242851938962130).

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

132220134122670 is a wasteful number, since it uses less digits than its factorization.

132220134122670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984590 (or 16984587 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 132220134122670 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred thirty-four million, one hundred twenty-two thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 7867 15734 23601 39335 47202 70803 78670 86537 118005 141606 173074 236010 259611 354015 432685 519222 708030 778833 865370 1298055 1557666 2596110 3894165 7788330 16976699 33953398 50930097 84883495 101860194 152790291 169766990 186743689 254650485 305580582 373487378 509300970 560231067 763951455 933718445 1120462134 1527902910 1680693201 1867436890 2801155335 3361386402 5602310670 8403466005 16806932010 133555691033 267111382066 400667073099 667778455165 801334146198 1202001219297 1335556910330 1469112601363 2003335365495 2404002438594 2938225202726 4006670730990 4407337804089 6010006096485 7345563006815 8814675608178 12020012192970 13222013412267 14691126013630 22036689020445 26444026824534 44073378040890 66110067061335 132220134122670