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42217720710 = 23511613208699
BaseRepresentation
bin100111010100010111…
…110100101110000110
311000222020002102101120
4213110113310232012
51142430214030320
631221120134410
73023123463564
oct472427645606
9130866072346
1042217720710
11169a4891480
128222767406
133c9a679a39
142086d3ca34
151171554440
hex9d45f4b86

42217720710 has 64 divisors (see below), whose sum is σ = 110714515200. Its totient is φ = 10217854080.

The previous prime is 42217720703. The next prime is 42217720801. The reversal of 42217720710 is 1702771224.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 97941 + ... + 306639.

It is an arithmetic number, because the mean of its divisors is an integer number (1729914300).

Almost surely, 242217720710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42217720710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55357257600).

42217720710 is an abundant number, since it is smaller than the sum of its proper divisors (68496794490).

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

42217720710 is a wasteful number, since it uses less digits than its factorization.

42217720710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209333.

The product of its (nonzero) digits is 10976, while the sum is 33.

The spelling of 42217720710 in words is "forty-two billion, two hundred seventeen million, seven hundred twenty thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 613 1226 1839 3065 3678 6130 6743 9195 13486 18390 20229 33715 40458 67430 101145 202290 208699 417398 626097 1043495 1252194 2086990 2295689 3130485 4591378 6260970 6887067 11478445 13774134 22956890 34435335 68870670 127932487 255864974 383797461 639662435 767594922 1279324870 1407257357 1918987305 2814514714 3837974610 4221772071 7036286785 8443544142 14072573570 21108860355 42217720710