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127353412066764 = 223132363895555527
BaseRepresentation
bin11100111101001111000110…
…111000110001110111001100
3121200220212102020220011100210
4130331033012320301313030
5113143024241442114024
61130505203321322420
735552660162355222
oct3475170670616714
9550825366804323
10127353412066764
1137640308019094
1212349b40036410
13560a4b54b2c20
142363d1bd66b12
15eacb4b6e6129
hex73d3c6e31dcc

127353412066764 has 96 divisors (see below), whose sum is σ = 333982343439360. Its totient is φ = 37476067292928.

The previous prime is 127353412066757. The next prime is 127353412066789. The reversal of 127353412066764 is 467660214353721.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20145969 + ... + 25701495.

It is an arithmetic number, because the mean of its divisors is an integer number (3478982744160).

Almost surely, 2127353412066764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127353412066764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166991171719680).

127353412066764 is an abundant number, since it is smaller than the sum of its proper divisors (206628931372596).

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

127353412066764 is a wasteful number, since it uses less digits than its factorization.

127353412066764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561959 (or 5561957 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 127353412066764 in words is "one hundred twenty-seven trillion, three hundred fifty-three billion, four hundred twelve million, sixty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 6389 12778 19167 25556 38334 76668 83057 146947 166114 249171 293894 332228 440841 498342 587788 881682 996684 1763364 1910311 3820622 5555527 5730933 7641244 11111054 11461866 16666581 22222108 22923732 33333162 66666324 72221851 127777121 144443702 216665553 255554242 288887404 383331363 433331106 511108484 766662726 866662212 1533325452 1661102573 3322205146 4983307719 6644410292 9966615438 19933230876 35494262003 70988524006 106482786009 141977048012 212965572018 425931144036 461425406039 816368026069 922850812078 1384276218117 1632736052138 1845701624156 2449104078207 2768552436234 3265472104276 4898208156414 5537104872468 9796416312828 10612784338897 21225568677794 31838353016691 42451137355588 63676706033382 127353412066764