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5490041778 = 2321317412821
BaseRepresentation
bin1010001110011101…
…10110001110110010
3112011121111000111200
411013032312032302
542220422314103
62304434352030
7253022404464
oct50716661662
915147430450
105490041778
112367a92711
12109272b616
13696538140
143a11c4134
15221ea40a3
hex1473b63b2

5490041778 has 144 divisors (see below), whose sum is σ = 13919455368. Its totient is φ = 1549209600.

The previous prime is 5490041771. The next prime is 5490041779. The reversal of 5490041778 is 8771400945.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 599417289 + 4890624489 = 24483^2 + 69933^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5490041771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6686608 + ... + 6687428.

Almost surely, 25490041778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490041778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959727684).

5490041778 is an abundant number, since it is smaller than the sum of its proper divisors (8429413590).

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

5490041778 is a wasteful number, since it uses less digits than its factorization.

5490041778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5490041778 is about 74094.8161344638. The cubic root of 5490041778 is about 1764.1081909516.

The spelling of 5490041778 in words is "five billion, four hundred ninety million, forty-one thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 41 51 78 82 102 117 123 153 221 234 246 306 369 442 533 663 697 738 821 1066 1326 1394 1599 1642 1681 1989 2091 2463 3198 3362 3978 4182 4797 4926 5043 6273 7389 9061 9594 10086 10673 12546 13957 14778 15129 18122 21346 21853 27183 27914 28577 30258 32019 33661 41871 43706 54366 57154 64038 65559 67322 81549 83742 85731 96057 100983 125613 131118 163098 171462 181441 192114 196677 201966 251226 257193 302949 362882 371501 393354 437593 514386 544323 572237 605898 743002 875186 1088646 1114503 1144474 1312779 1380101 1632969 1716711 2229006 2625558 2760202 3265938 3343509 3433422 3938337 4140303 5150133 6687018 7439081 7876674 8280606 10300266 12420909 14878162 17941313 22317243 23461717 24841818 35882626 44634486 46923434 53823939 66951729 70385151 107647878 133903458 140770302 161471817 211155453 305002321 322943634 422310906 610004642 915006963 1830013926 2745020889 5490041778