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41604000432 = 24323156724049
BaseRepresentation
bin100110101111110010…
…101010101010110000
310222101110021012102220
4212233302222222300
51140201111003212
631040154041040
73001662111621
oct465762525260
9128343235386
1041604000432
111670a412335
128091119180
133c00489147
142029623a48
15113772638c
hex9afcaaab0

41604000432 has 80 divisors (see below), whose sum is σ = 112226150400. Its totient is φ = 13256027136.

The previous prime is 41604000413. The next prime is 41604000457. The reversal of 41604000432 is 23400040614.

It is a super-3 number, since 3×416040004323 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1717944 + ... + 1741992.

It is an arithmetic number, because the mean of its divisors is an integer number (1402826880).

Almost surely, 241604000432 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 41604000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56113075200).

41604000432 is an abundant number, since it is smaller than the sum of its proper divisors (70622149968).

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

41604000432 is a wasteful number, since it uses less digits than its factorization.

41604000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25650 (or 25644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 41604000432 in words is "forty-one billion, six hundred four million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1567 3134 4701 6268 9402 12536 18804 24049 25072 36041 37608 48098 72082 72147 75216 96196 108123 144164 144294 192392 216246 288328 288588 384784 432492 553127 576656 577176 864984 1106254 1154352 1659381 1729968 2212508 3318762 4425016 6637524 8850032 13275048 26550096 37684783 75369566 113054349 150739132 226108698 301478264 452217396 602956528 866750009 904434792 1733500018 1808869584 2600250027 3467000036 5200500054 6934000072 10401000108 13868000144 20802000216 41604000432