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42781760604 = 22351123173969
BaseRepresentation
bin100111110101111111…
…011101110001011100
311002102112102121200000
4213311333131301130
51200104112314404
631353105334300
73043112652012
oct476577356134
9132375377600
1042781760604
1117164208a50
12835b637390
13405a49485b
1420dbc048b2
1511a5d1c339
hex9f5fddc5c

42781760604 has 144 divisors (see below), whose sum is σ = 127663361280. Its totient is φ = 12400439040.

The previous prime is 42781760603. The next prime is 42781760621. The reversal of 42781760604 is 40606718724.

42781760604 is a `hidden beast` number, since 4 + 27 + 8 + 17 + 6 + 0 + 604 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42781760604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42781760603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158932 + ... + 332900.

It is an arithmetic number, because the mean of its divisors is an integer number (886551120).

Almost surely, 242781760604 is an apocalyptic number.

42781760604 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 42781760604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63831680640).

42781760604 is an abundant number, since it is smaller than the sum of its proper divisors (84881600676).

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

42781760604 is a wasteful number, since it uses less digits than its factorization.

42781760604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174022 (or 174008 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 42781760604 in words is "forty-two billion, seven hundred eighty-one million, seven hundred sixty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 243 253 276 297 324 396 414 486 506 594 621 759 828 891 972 1012 1188 1242 1518 1782 1863 2277 2484 2673 3036 3564 3726 4554 5346 5589 6831 7452 9108 10692 11178 13662 20493 22356 27324 40986 61479 81972 122958 173969 245916 347938 521907 695876 1043814 1565721 1913659 2087628 3131442 3827318 4001287 4697163 5740977 6262884 7654636 8002574 9394326 11481954 12003861 14091489 16005148 17222931 18788652 22963908 24007722 28182978 34445862 36011583 42274467 44014157 48015444 51668793 56365956 68891724 72023166 84548934 88028314 103337586 108034749 132042471 144046332 155006379 169097868 176056628 206675172 216069498 264084942 310012758 324104247 396127413 432138996 465019137 528169884 620025516 648208494 792254826 930038274 972312741 1188382239 1296416988 1584509652 1860076548 1944625482 2376764478 3565146717 3889250964 4753528956 7130293434 10695440151 14260586868 21390880302 42781760604