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5481931680 = 2532519200363
BaseRepresentation
bin1010001101011111…
…11010001110100000
3112011001012222112200
411012233322032200
542211333303210
62303544453200
7252563436051
oct50657721640
915131188480
105481931680
112363453455
12108ba7a200
13694958874
143a00b2728
152214010c0
hex146bfa3a0

5481931680 has 144 divisors (see below), whose sum is σ = 19691773920. Its totient is φ = 1384902144.

The previous prime is 5481931613. The next prime is 5481931727. The reversal of 5481931680 is 861391845.

5481931680 is a `hidden beast` number, since 5 + 481 + 9 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 72822 + ... + 127541.

It is an arithmetic number, because the mean of its divisors is an integer number (136748430).

Almost surely, 25481931680 is an apocalyptic number.

It is an amenable number.

5481931680 is an abundant number, since it is smaller than the sum of its proper divisors (14209842240).

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

5481931680 is a wasteful number, since it uses less digits than its factorization.

5481931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200403 (or 200392 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 5481931680 is about 74040.0680712815. The cubic root of 5481931680 is about 1763.2390936740.

The spelling of 5481931680 in words is "five billion, four hundred eighty-one million, nine hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 200363 400726 601089 801452 1001815 1202178 1602904 1803267 2003630 2404356 3005445 3205808 3606534 3806897 4007260 4808712 6010890 6411616 7213068 7613794 8014520 9016335 9617424 11420691 12021780 14426136 15227588 16029040 18032670 19034485 19234848 22841382 24043560 28852272 30455176 32058080 34262073 36065340 38068970 45682764 48087120 57103455 57704544 60910352 68524146 72130680 76137940 91365528 96174240 114206910 121820704 137048292 144261360 152275880 171310365 182731056 228413820 274096584 288522720 304551760 342620730 365462112 456827640 548193168 609103520 685241460 913655280 1096386336 1370482920 1827310560 2740965840 5481931680