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42754180784 = 2472934937717
BaseRepresentation
bin100111110100010110…
…010000011010110000
311002100121112102021012
4213310112100122300
51200030032241114
631350242250052
73042326353250
oct476426203260
9132317472235
1042754180784
111714a690907
128352356928
134054859333
1420d82a5960
1511a36c063e
hex9f45906b0

42754180784 has 80 divisors (see below), whose sum is σ = 98217672000. Its totient is φ = 17640225792.

The previous prime is 42754180769. The next prime is 42754180823. The reversal of 42754180784 is 48708145724.

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, 1114694 + ... + 1152410.

It is an arithmetic number, because the mean of its divisors is an integer number (1227720900).

Almost surely, 242754180784 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 42754180784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49108836000).

42754180784 is an abundant number, since it is smaller than the sum of its proper divisors (55463491216).

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

42754180784 is a wasteful number, since it uses less digits than its factorization.

42754180784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38110 (or 38104 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 50.

The spelling of 42754180784 in words is "forty-two billion, seven hundred fifty-four million, one hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 349 406 464 698 812 1396 1624 2443 2792 3248 4886 5584 9772 10121 19544 20242 37717 39088 40484 70847 75434 80968 141694 150868 161936 264019 283388 301736 528038 566776 603472 1056076 1093793 1133552 2112152 2187586 4224304 4375172 7656551 8750344 13163233 15313102 17500688 26326466 30626204 52652932 61252408 92142631 105305864 122504816 184285262 210611728 368570524 381733757 737141048 763467514 1474282096 1526935028 2672136299 3053870056 5344272598 6107740112 10688545196 21377090392 42754180784