Search a number
-
+
5185881321984 = 29331134103281
BaseRepresentation
bin100101101110110111010…
…0111010011001000000000
3200100202122222121122201000
41023131232213103020000
51134431141104300414
615010205550212000
71043444654633436
oct113355647231000
920322588548630
105185881321984
11171a3578a0a20
126b90851b4000
132b804632129c
1413cdd86dad56
158ed6b41db09
hex4b76e9d3200

5185881321984 has 160 divisors (see below), whose sum is σ = 16746075593280. Its totient is φ = 1571479142400.

The previous prime is 5185881321979. The next prime is 5185881321989. The reversal of 5185881321984 is 4891231885815.

5185881321984 is a `hidden beast` number, since 5 + 1 + 8 + 588 + 1 + 32 + 19 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5185881321979) and next prime (5185881321989).

It is not an unprimeable number, because it can be changed into a prime (5185881321989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16899577 + ... + 17203704.

It is an arithmetic number, because the mean of its divisors is an integer number (104662972458).

Almost surely, 25185881321984 is an apocalyptic number.

5185881321984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5185881321984 is an abundant number, since it is smaller than the sum of its proper divisors (11560194271296).

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

5185881321984 is a wasteful number, since it uses less digits than its factorization.

5185881321984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34103319 (or 34103297 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

The spelling of 5185881321984 in words is "five trillion, one hundred eighty-five billion, eight hundred eighty-one million, three hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 38016 50688 76032 152064 34103281 68206562 102309843 136413124 204619686 272826248 306929529 375136091 409239372 545652496 613859058 750272182 818478744 920788587 1091304992 1125408273 1227718116 1500544364 1636957488 1841577174 2182609984 2250816546 2455436232 3001088728 3273914976 3376224819 3683154348 4365219968 4501633092 4910872464 6002177456 6547829952 6752449638 7366308696 8730439936 9003266184 9821744928 10128674457 12004354912 13095659904 13504899276 14732617392 17460879872 18006532368 19643489856 20257348914 24008709824 26191319808 27009798552 29465234784 36013064736 39286979712 40514697828 48017419648 52382639616 54019597104 58930469568 72026129472 78573959424 81029395656 96034839296 108039194208 117860939136 144052258944 157147918848 162058791312 192069678592 216078388416 235721878272 288104517888 324117582624 432156776832 471443756544 576209035776 648235165248 864313553664 1296470330496 1728627107328 2592940660992 5185881321984