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30001671232 = 2613193175987
BaseRepresentation
bin11011111100001111…
…010010110001000000
32212102212102210212121
4123330033102301000
5442420411434412
621441011534024
72111316666151
oct337417226100
985385383777
1030001671232
11117a6185715
1259935ba314
132aa182b9b0
141648761928
15ba8d59107
hex6fc3d2c40

30001671232 has 112 divisors (see below), whose sum is σ = 67712783040. Its totient is φ = 13074573312.

The previous prime is 30001671187. The next prime is 30001671269. The reversal of 30001671232 is 23217610003.

It is a super-3 number, since 3×300016712323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30001671197 and 30001671206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5008143 + ... + 5014129.

It is an arithmetic number, because the mean of its divisors is an integer number (604578420).

Almost surely, 230001671232 is an apocalyptic number.

30001671232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33856391520).

30001671232 is an abundant number, since it is smaller than the sum of its proper divisors (37711111808).

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

30001671232 is a wasteful number, since it uses less digits than its factorization.

30001671232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 30001671232 in words is "thirty billion, one million, six hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 317 416 494 608 634 832 988 1216 1268 1976 2536 3952 4121 5072 5987 6023 7904 8242 10144 11974 12046 15808 16484 20288 23948 24092 32968 47896 48184 65936 77831 78299 95792 96368 113753 131872 155662 156598 191584 192736 227506 263744 311324 313196 383168 385472 455012 622648 626392 910024 1245296 1252784 1478789 1820048 1897879 2490592 2505568 2957578 3640096 3795758 4981184 5011136 5915156 7280192 7591516 11830312 15183032 23660624 24672427 30366064 36059701 47321248 49344854 60732128 72119402 94642496 98689708 121464256 144238804 197379416 288477608 394758832 468776113 576955216 789517664 937552226 1153910432 1579035328 1875104452 2307820864 3750208904 7500417808 15000835616 30001671232