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235993131088 = 241113318340087
BaseRepresentation
bin1101101111001001001…
…0010110100001010000
3211120010202201012011121
43123302102112201100
512331303220143323
6300225211452024
723023062342151
oct3336222264120
9746122635147
10235993131088
11910a1a74330
12398a1757014
131933c216690
14b5ca46b928
1562132caa5d
hex36f2496850

235993131088 has 160 divisors (see below), whose sum is σ = 561196081152. Its totient is φ = 94667097600.

The previous prime is 235993131083. The next prime is 235993131089. The reversal of 235993131088 is 880131399532.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235993131083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5866981 + ... + 5907067.

Almost surely, 2235993131088 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 235993131088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280598040576).

235993131088 is an abundant number, since it is smaller than the sum of its proper divisors (325202950064).

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

235993131088 is a wasteful number, since it uses less digits than its factorization.

235993131088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40233 (or 40227 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 235993131088 in words is "two hundred thirty-five billion, nine hundred ninety-three million, one hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 83 88 104 124 143 166 176 208 248 286 332 341 403 496 572 664 682 806 913 1079 1144 1328 1364 1612 1826 2158 2288 2573 2728 3224 3652 4316 4433 5146 5456 6448 7304 8632 8866 10292 11869 14608 17264 17732 20584 23738 28303 33449 35464 40087 41168 47476 56606 66898 70928 80174 94952 113212 133796 160348 189904 226424 267592 320696 367939 440957 452848 521131 535184 641392 735878 881914 1042262 1242697 1471756 1763828 2084524 2485394 2943512 3327221 3527656 4169048 4970788 5732441 5887024 6654442 7055312 8338096 9941576 11464882 13308884 13669667 16155061 19883152 22929764 26617768 27339334 32310122 36599431 43253873 45859528 53235536 54678668 64620244 73198862 86507746 91719056 103143851 109357336 129240488 146397724 173015492 177705671 206287702 218714672 258480976 292795448 346030984 355411342 412575404 475792603 585590896 692061968 710822684 825150808 951585206 1134582361 1340870063 1421645368 1650301616 1903170412 2269164722 2681740126 2843290736 3806340824 4538329444 5363480252 7612681648 9076658888 10726960504 14749570693 18153317776 21453921008 29499141386 58998282772 117996565544 235993131088