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42623856704 = 2611137363799
BaseRepresentation
bin100111101100100101…
…000111000001000000
311002000112022021020102
4213230211013001000
51144243201403304
631325305101532
73036154542542
oct475445070100
9132015267212
1042623856704
1117093068460
1283167878a8
1340338591b0
1420c4c5d692
15119702ad1e
hex9ec947040

42623856704 has 112 divisors (see below), whose sum is σ = 100731523200. Its totient is φ = 17638871040.

The previous prime is 42623856647. The next prime is 42623856721. The reversal of 42623856704 is 40765832624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636197 + ... + 699995.

It is an arithmetic number, because the mean of its divisors is an integer number (899388600).

Almost surely, 242623856704 is an apocalyptic number.

42623856704 is a gapful number since it is divisible by the number (44) 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 42623856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50365761600).

42623856704 is an abundant number, since it is smaller than the sum of its proper divisors (58107666496).

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

42623856704 is a wasteful number, since it uses less digits than its factorization.

42623856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63908 (or 63898 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 42623856704 in words is "forty-two billion, six hundred twenty-three million, eight hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 143 146 176 208 286 292 352 416 572 584 704 803 832 949 1144 1168 1606 1898 2288 2336 3212 3796 4576 4672 6424 7592 9152 10439 12848 15184 20878 25696 30368 41756 51392 60736 63799 83512 127598 167024 255196 334048 510392 668096 701789 829387 1020784 1403578 1658774 2041568 2807156 3317548 4083136 4657327 5614312 6635096 9123257 9314654 11228624 13270192 18246514 18629308 22457248 26540384 36493028 37258616 44914496 51230597 53080768 60545251 72986056 74517232 102461194 121090502 145972112 149034464 204922388 242181004 291944224 298068928 409844776 484362008 583888448 665997761 819689552 968724016 1331995522 1639379104 1937448032 2663991044 3278758208 3874896064 5327982088 10655964176 21311928352 42623856704