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132214466606652 = 223243534127390479
BaseRepresentation
bin11110000011111110010100…
…010100001111011000111100
3122100010120122111121120210200
4132003332110110033120330
5114312200211422403102
61145110253142403500
736564115510245363
oct3603762424173074
9570116574546720
10132214466606652
1139144927636981
12129b4071430590
1358a0a03309cb1
1424913001887da
151044305a9c51c
hex783f9450f63c

132214466606652 has 144 divisors (see below), whose sum is σ = 348518881751040. Its totient is φ = 42224029271424.

The previous prime is 132214466606567. The next prime is 132214466606689. The reversal of 132214466606652 is 256606664412231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338400349 + ... + 338790827.

It is an arithmetic number, because the mean of its divisors is an integer number (2420270012160).

Almost surely, 2132214466606652 is an apocalyptic number.

132214466606652 is a gapful number since it is divisible by the number (12) 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 132214466606652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174259440875520).

132214466606652 is an abundant number, since it is smaller than the sum of its proper divisors (216304415144388).

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

132214466606652 is a wasteful number, since it uses less digits than its factorization.

132214466606652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394712 (or 394707 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 132214466606652 in words is "one hundred thirty-two trillion, two hundred fourteen billion, four hundred sixty-six million, six hundred six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 53 86 106 129 159 172 212 258 318 387 477 516 636 774 954 1548 1908 2279 4127 4558 6837 8254 9116 12381 13674 16508 20511 24762 27348 37143 41022 49524 74286 82044 148572 177461 218731 354922 390479 437462 532383 656193 709844 780958 874924 1064766 1171437 1312386 1561916 1597149 1968579 2129532 2342874 2624772 3194298 3514311 3937158 4685748 6388596 7028622 7874316 9405433 14057244 16790597 18810866 20695387 28216299 33581194 37621732 41390774 50371791 56432598 62086161 67162388 82781548 84648897 100743582 112865196 124172322 151115373 169297794 186258483 201487164 248344644 302230746 338595588 372516966 604461492 745033932 889901641 1611506833 1779803282 2669704923 3223013666 3559606564 4834520499 5339409846 6446027332 8009114769 9669040998 10678819692 14503561497 16018229538 19338081996 29007122994 32036459076 58014245988 69294793819 85409862149 138589587638 170819724298 207884381457 256229586447 277179175276 341639448596 415768762914 512459172894 623653144371 768688759341 831537525828 1024918345788 1247306288742 1537377518682 2494612577484 3074755037364 3672624072407 7345248144814 11017872217221 14690496289628 22035744434442 33053616651663 44071488868884 66107233303326 132214466606652