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5441039478 = 23272101103593
BaseRepresentation
bin1010001000100111…
…11010110001110110
3112001012021102222200
411010103322301312
542120401230403
62255524205330
7251556033600
oct50423726166
915035242880
105441039478
112342363546
12107a239846
1368933bbb4
143988aa170
1521ca24ca3
hex1444fac76

5441039478 has 144 divisors (see below), whose sum is σ = 14007460896. Its totient is φ = 1521676800.

The previous prime is 5441039467. The next prime is 5441039497. The reversal of 5441039478 is 8749301445.

5441039478 is a `hidden beast` number, since 544 + 1 + 0 + 39 + 4 + 78 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9175150 + ... + 9175742.

It is an arithmetic number, because the mean of its divisors is an integer number (97274034).

Almost surely, 25441039478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5441039478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003730448).

5441039478 is an abundant number, since it is smaller than the sum of its proper divisors (8566421418).

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

5441039478 is a wasteful number, since it uses less digits than its factorization.

5441039478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5441039478 is about 73763.4020229544. The cubic root of 5441039478 is about 1758.8438815260.

The spelling of 5441039478 in words is "five billion, four hundred forty-one million, thirty-nine thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 103 126 147 202 206 294 303 309 441 593 606 618 707 721 882 909 927 1186 1414 1442 1779 1818 1854 2121 2163 3558 4151 4242 4326 4949 5047 5337 6363 6489 8302 9898 10094 10403 10674 12453 12726 12978 14847 15141 20806 24906 29057 29694 30282 31209 37359 44541 45423 58114 59893 61079 62418 72821 74718 87171 89082 90846 93627 119786 122158 145642 174342 179679 183237 187254 218463 261513 359358 366474 419251 427553 436926 509747 523026 539037 549711 655389 838502 855106 1019494 1078074 1099422 1257753 1282659 1310778 1529241 2515506 2565318 2934757 2992871 3058482 3773259 3847977 4587723 5869514 5985742 6168979 7546518 7695954 8804271 8978613 9175446 12337958 17608542 17957226 18506937 26412813 26935839 37013874 43182853 52825626 53871678 55520811 86365706 111041622 129548559 259097118 302279971 388645677 604559942 777291354 906839913 1813679826 2720519739 5441039478