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95086319742 = 23417475912451
BaseRepresentation
bin101100010001110010…
…1100001100001111110
3100002102201200112010000
41120203211201201332
53024214044212432
6111403153455130
76604220245041
oct1304345414176
9302381615100
1095086319742
1137364826427
12165182714a6
138c7481492b
14486062cc58
152717b8457c
hex162396187e

95086319742 has 160 divisors (see below), whose sum is σ = 234320739840. Its totient is φ = 28699142400.

The previous prime is 95086319737. The next prime is 95086319743. The reversal of 95086319742 is 24791368059.

95086319742 is a `hidden beast` number, since 9 + 508 + 6 + 3 + 1 + 97 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95086319743) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7630617 + ... + 7643067.

It is an arithmetic number, because the mean of its divisors is an integer number (1464504624).

It is a 1-persistent number, because it is pandigital, but 2⋅95086319742 = 190172639484 is not.

Almost surely, 295086319742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95086319742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117160369920).

95086319742 is an abundant number, since it is smaller than the sum of its proper divisors (139234420098).

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

95086319742 is a wasteful number, since it uses less digits than its factorization.

95086319742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 95086319742 in words is "ninety-five billion, eighty-six million, three hundred nineteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 59 81 94 102 118 141 153 162 177 282 306 354 423 459 531 799 846 918 1003 1062 1269 1377 1593 1598 2006 2397 2538 2754 2773 3009 3186 3807 4779 4794 5546 6018 7191 7614 8319 9027 9558 12451 14382 16638 18054 21573 24902 24957 27081 37353 43146 47141 49914 54162 64719 74706 74871 81243 94282 112059 129438 141423 149742 162486 211667 224118 224613 282846 336177 423334 424269 449226 585197 635001 672354 734609 848538 1008531 1170394 1270002 1272807 1469218 1755591 1905003 2017062 2203827 2545614 3511182 3810006 3818421 4407654 5266773 5715009 6611481 7636842 9948349 10533546 11430018 12488353 13222962 15800319 17145027 19834443 19896698 24976706 29845047 31600638 34290054 34526623 37465059 39668886 47400957 59503329 59690094 69053246 74930118 89535141 94801914 103579869 112395177 119006658 179070282 207159738 224790354 268605423 310739607 337185531 537210846 586952591 621479214 674371062 805816269 932218821 1011556593 1173905182 1611632538 1760857773 1864437642 2023113186 2796656463 3521715546 5282573319 5593312926 10565146638 15847719957 31695439914 47543159871 95086319742