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42760623136 = 25711173100313
BaseRepresentation
bin100111110100101110…
…110101010000100000
311002101001122201111211
4213310232311100200
51200033204420021
631351032315504
73042435204520
oct476456652040
9132331581454
1042760623136
1117153291070
128354542b94
134055ca378a
1420d90a1680
1511a40443e1
hex9f4bb5420

42760623136 has 96 divisors (see below), whose sum is σ = 105565638528. Its totient is φ = 16563517440.

The previous prime is 42760623133. The next prime is 42760623151. The reversal of 42760623136 is 63132606724.

It is not an unprimeable number, because it can be changed into a prime (42760623131) by changing a digit.

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, 376116 + ... + 476428.

It is an arithmetic number, because the mean of its divisors is an integer number (1099642068).

Almost surely, 242760623136 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 42760623136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52782819264).

42760623136 is an abundant number, since it is smaller than the sum of its proper divisors (62805015392).

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

42760623136 is a wasteful number, since it uses less digits than its factorization.

42760623136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100514 (or 100506 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 42760623136 in words is "forty-two billion, seven hundred sixty million, six hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 173 176 224 308 346 352 616 692 1211 1232 1384 1903 2422 2464 2768 3806 4844 5536 7612 9688 13321 15224 19376 26642 30448 38752 53284 60896 100313 106568 200626 213136 401252 426272 702191 802504 1103443 1404382 1605008 2206886 2808764 3210016 4413772 5617528 7724101 8827544 11235056 15448202 17354149 17655088 22470112 30896404 34708298 35310176 61792808 69416596 121479043 123585616 138833192 190895639 242958086 247171232 277666384 381791278 485916172 555332768 763582556 971832344 1336269473 1527165112 1943664688 2672538946 3054330224 3887329376 5345077892 6108660448 10690155784 21380311568 42760623136