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96832585752 = 233717231474129
BaseRepresentation
bin101101000101110101…
…1000000000000011000
3100020221102121000201220
41122023223000000120
53041303120221002
6112252334212040
76665413253430
oct1321353000030
9306842530656
1096832585752
1138080519981
1216925054020
13919253cb26
1449885192c0
1527bb1267bc
hex168bac0018

96832585752 has 128 divisors (see below), whose sum is σ = 305675596800. Its totient is φ = 24906866688.

The previous prime is 96832585741. The next prime is 96832585763. The reversal of 96832585752 is 25758523869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96832585741) and next prime (96832585763).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671377 + ... + 802752.

It is an arithmetic number, because the mean of its divisors is an integer number (2388090600).

Almost surely, 296832585752 is an apocalyptic number.

96832585752 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

96832585752 is an abundant number, since it is smaller than the sum of its proper divisors (208843011048).

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

96832585752 is a wasteful number, since it uses less digits than its factorization.

96832585752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474185 (or 1474181 counting only the distinct ones).

The product of its digits is 36288000, while the sum is 60.

The spelling of 96832585752 in words is "ninety-six billion, eight hundred thirty-two million, five hundred eighty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 238 276 322 357 391 408 476 483 552 644 714 782 952 966 1173 1288 1428 1564 1932 2346 2737 2856 3128 3864 4692 5474 8211 9384 10948 16422 21896 32844 65688 1474129 2948258 4422387 5896516 8844774 10318903 11793032 17689548 20637806 25060193 30956709 33904967 35379096 41275612 50120386 61913418 67809934 75180579 82551224 100240772 101714901 123826836 135619868 150361158 175421351 200481544 203429802 237334769 247653672 271239736 300722316 350842702 406859604 474669538 526264053 576384439 601444632 701685404 712004307 813719208 949339076 1052528106 1152768878 1403370808 1424008614 1729153317 1898678152 2105056212 2305537756 2848017228 3458306634 4034691073 4210112424 4611075512 5696034456 6916613268 8069382146 12104073219 13833226536 16138764292 24208146438 32277528584 48416292876 96832585752