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10160143406325 = 3252112373191677
BaseRepresentation
bin1001001111011001011110…
…1111010001010011110101
31022222022002212022012022200
42103312113233101103311
52312430433203000300
633335301102015113
72066021553005613
oct223662757212365
938868085265280
1010160143406325
113267990095500
12118112b577499
13589136025a53
14271a79ad26b3
1512944e2ab200
hex93d97bd14f5

10160143406325 has 54 divisors (see below), whose sum is σ = 20002700749122. Its totient is φ = 4926130123200.

The previous prime is 10160143406323. The next prime is 10160143406351. The reversal of 10160143406325 is 52360434106101.

10160143406325 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 14 + 3 + 4 + 0 + 632 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 86667238449 + 10073476167876 = 294393^2 + 3173874^2 .

It is not a de Polignac number, because 10160143406325 - 21 = 10160143406323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10160143406325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10160143406321) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 186568614 + ... + 186623063.

It is an arithmetic number, because the mean of its divisors is an integer number (370420384243).

Almost surely, 210160143406325 is an apocalyptic number.

10160143406325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10160143406325 is a deficient number, since it is larger than the sum of its proper divisors (9842557342797).

10160143406325 is a wasteful number, since it uses less digits than its factorization.

10160143406325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373191715 (or 373191696 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10160143406325 in words is "ten trillion, one hundred sixty billion, one hundred forty-three million, four hundred six thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 27225 373191677 1119575031 1865958385 3358725093 4105108447 5597875155 9329791925 12315325341 16793625465 20525542235 27989375775 36945976023 45156192917 61576626705 83968127325 102627711175 135468578751 184729880115 225780964585 307883133525 406405736253 677342893755 923649400575 1128904822925 2032028681265 3386714468775 10160143406325