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235152164416 = 2613293996167
BaseRepresentation
bin1101101100000000101…
…0010100011001000000
3211110222011021122202211
43123000022110121000
512323042423230131
6300005530551504
722663201263241
oct3330012243100
9743864248684
10235152164416
11908002a2654
12396a7b98594
1319236c1bc70
14b54a8bacc8
1561b45605b1
hex36c0294640

235152164416 has 56 divisors (see below), whose sum is σ = 502700909760. Its totient is φ = 108493711872.

The previous prime is 235152164393. The next prime is 235152164551. The reversal of 235152164416 is 614461251532.

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 7 ways as a sum of consecutive naturals, for example, 2397165 + ... + 2493331.

It is an arithmetic number, because the mean of its divisors is an integer number (8976801960).

Almost surely, 2235152164416 is an apocalyptic number.

235152164416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

235152164416 is an abundant number, since it is smaller than the sum of its proper divisors (267548745344).

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

235152164416 is a wasteful number, since it uses less digits than its factorization.

235152164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99131 (or 99121 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The spelling of 235152164416 in words is "two hundred thirty-five billion, one hundred fifty-two million, one hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2939 5878 11756 23512 38207 47024 76414 94048 96167 152828 188096 192334 305656 384668 611312 769336 1222624 1250171 1538672 2445248 2500342 3077344 5000684 6154688 10001368 20002736 40005472 80010944 282634813 565269626 1130539252 2261078504 3674252569 4522157008 7348505138 9044314016 14697010276 18088628032 29394020552 58788041104 117576082208 235152164416