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42448833536 = 2101710192393
BaseRepresentation
bin100111100010001001…
…011100110000000000
311001120022222011120212
4213202021130300000
51143413400133121
631300053453252
73031631063114
oct474211346000
9131508864525
1042448833536
1117003294a0a
128288041228
1340065086a5
1420a98dd744
1511869a725b
hex9e225cc00

42448833536 has 88 divisors (see below), whose sum is σ = 89973510480. Its totient is φ = 19947978752.

The previous prime is 42448833529. The next prime is 42448833547. The reversal of 42448833536 is 63533884424.

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, 17737556 + ... + 17739948.

Almost surely, 242448833536 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 42448833536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44986755240).

42448833536 is an abundant number, since it is smaller than the sum of its proper divisors (47524676944).

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

42448833536 is a wasteful number, since it uses less digits than its factorization.

42448833536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3431 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 50.

The spelling of 42448833536 in words is "forty-two billion, four hundred forty-eight million, eight hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1019 1024 1088 2038 2176 2393 4076 4352 4786 8152 8704 9572 16304 17323 17408 19144 32608 34646 38288 40681 65216 69292 76576 81362 130432 138584 153152 162724 260864 277168 306304 325448 521728 554336 612608 650896 1043456 1108672 1225216 1301792 2217344 2438467 2450432 2603584 4434688 4876934 5207168 8869376 9753868 10414336 17738752 19507736 20828672 39015472 41453939 41657344 78030944 82907878 156061888 165815756 312123776 331631512 624247552 663263024 1248495104 1326526048 2496990208 2653052096 5306104192 10612208384 21224416768 42448833536