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96138445725 = 3352767303683
BaseRepresentation
bin101100110001001001…
…1000100001110011101
3100012011001110001122000
41121202103010032131
53033342420230400
6112055420312513
76642254206530
oct1314223041635
9305131401560
1096138445725
1137854712233
12167706a2739
1390b17a2a9a
144920268a17
15277a210600
hex16624c439d

96138445725 has 96 divisors (see below), whose sum is σ = 204853079040. Its totient is φ = 43292905920.

The previous prime is 96138445703. The next prime is 96138445759. The reversal of 96138445725 is 52754483169.

It is a happy number.

96138445725 is a `hidden beast` number, since 9 + 61 + 3 + 8 + 4 + 4 + 572 + 5 = 666.

It is not a de Polignac number, because 96138445725 - 213 = 96138437533 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164734 + ... + 468416.

It is an arithmetic number, because the mean of its divisors is an integer number (2133886240).

Almost surely, 296138445725 is an apocalyptic number.

It is an amenable number.

96138445725 is an abundant number, since it is smaller than the sum of its proper divisors (108714633315).

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

96138445725 is a wasteful number, since it uses less digits than its factorization.

96138445725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303776 (or 303765 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 96138445725 in words is "ninety-six billion, one hundred thirty-eight million, four hundred forty-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 67 75 105 135 175 189 201 225 315 335 469 525 603 675 945 1005 1407 1575 1675 1809 2345 3015 4221 4725 5025 7035 9045 11725 12663 15075 21105 35175 45225 63315 105525 303683 316575 911049 1518415 2125781 2733147 4555245 6377343 7592075 8199441 10628905 13665735 19132029 20346761 22776225 31886715 40997205 53144525 57396087 61040283 68328675 95660145 101733805 142427327 159433575 183120849 204986025 286980435 305201415 427281981 478300725 508669025 549362547 712136635 915604245 1281845943 1434902175 1526007075 2136409905 2746812735 3560683175 3845537829 4578021225 6409229715 10682049525 13734063675 19227689145 32046148575 96138445725