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88263432312 = 2331112715831663
BaseRepresentation
bin101001000110011101…
…0010001100001111000
322102211020012221002120
41102030322101201320
52421230414313222
6104314143401240
76243151536666
oct1221472214170
9272736187076
1088263432312
1134483452090
12151332b3220
138428111533
1443b4417c36
152468ba315c
hex148ce91878

88263432312 has 128 divisors (see below), whose sum is σ = 242913116160. Its totient is φ = 26503182720.

The previous prime is 88263432307. The next prime is 88263432331. The reversal of 88263432312 is 21323436288.

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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, 53073993 + ... + 53075655.

It is an arithmetic number, because the mean of its divisors is an integer number (1897758720).

Almost surely, 288263432312 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 88263432312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121456558080).

88263432312 is an abundant number, since it is smaller than the sum of its proper divisors (154649683848).

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

88263432312 is a wasteful number, since it uses less digits than its factorization.

88263432312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3389 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 88263432312 in words is "eighty-eight billion, two hundred sixty-three million, four hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 1583 1663 2794 3048 3166 3326 4191 4749 4989 5588 6332 6652 8382 9498 9978 11176 12664 13304 16764 17413 18293 18996 19956 33528 34826 36586 37992 39912 52239 54879 69652 73172 104478 109758 139304 146344 201041 208956 211201 219516 402082 417912 422402 439032 603123 633603 804164 844804 1206246 1267206 1608328 1689608 2211451 2323211 2412492 2534412 2632529 4422902 4646422 4824984 5068824 5265058 6634353 6969633 7897587 8845804 9292844 10530116 13268706 13939266 15795174 17691608 18585688 21060232 26537412 27878532 28957819 31590348 53074824 55757064 57915638 63180696 86873457 115831276 173746914 231662552 334331183 347493828 668662366 694987656 1002993549 1337324732 2005987098 2674649464 3677643013 4011974196 7355286026 8023948392 11032929039 14710572052 22065858078 29421144104 44131716156 88263432312