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235343343532 = 2211232953151303
BaseRepresentation
bin1101101100101110001…
…1100110111110101100
3211111110111000120012211
43123023203212332230
512323440343443112
6300040520340204
723001012261613
oct3331343467654
9744414016184
10235343343532
1190899200320
1239740014664
13192677082bb
14b56804487a
1561c62260a7
hex36cb8e6fac

235343343532 has 96 divisors (see below), whose sum is σ = 494146759680. Its totient is φ = 96930113280.

The previous prime is 235343343451. The next prime is 235343343541.

235343343532 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479793 + ... + 1631095.

It is an arithmetic number, because the mean of its divisors is an integer number (5147362080).

Almost surely, 2235343343532 is an apocalyptic number.

235343343532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

235343343532 is an abundant number, since it is smaller than the sum of its proper divisors (258803416148).

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

235343343532 is a wasteful number, since it uses less digits than its factorization.

235343343532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151423 (or 151421 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 40.

It can be divided in two parts, 235343 and 343532, that added together give a palindrome (578875).

The spelling of 235343343532 in words is "two hundred thirty-five billion, three hundred forty-three million, three hundred forty-three thousand, five hundred thirty-two".

Divisors: 1 2 4 11 22 23 29 44 46 53 58 92 106 116 212 253 319 506 583 638 667 1012 1166 1219 1276 1334 1537 2332 2438 2668 3074 4876 6148 7337 13409 14674 16907 26818 29348 33814 35351 53636 67628 70702 141404 151303 302606 388861 605212 777722 1555444 1664333 3328666 3479969 4387787 6657332 6959938 8019059 8775574 13919876 16038118 17551148 32076236 38279659 48265657 76559318 88209649 96531314 100919101 153118636 176419298 184438357 193062628 201838202 232552711 352838596 368876714 403676404 465105422 737753428 930210844 1110110111 2028821927 2220220222 2558079821 4057643854 4440440444 5116159642 5348712353 8115287708 10232319284 10697424706 21394849412 58835835883 117671671766 235343343532