Search a number
-
+
5514050534544 = 2433199206331091
BaseRepresentation
bin101000000111101011100…
…0001011111110010010000
3201112010201122212221121000
41100033113001133302100
51210320233414101134
615421041515302000
71106243212132206
oct120172701376220
921463648787530
105514050534544
11183654a859582
127507b044a900
1330cc851356b6
14150c4aa79076
1598676b1ae99
hex503d705fc90

5514050534544 has 160 divisors (see below), whose sum is σ = 15915124224000. Its totient is φ = 1827835320960.

The previous prime is 5514050534537. The next prime is 5514050534633. The reversal of 5514050534544 is 4454350504155.

5514050534544 is a `hidden beast` number, since 5 + 5 + 1 + 4 + 0 + 50 + 53 + 4 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5514050534544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177336439 + ... + 177367529.

It is an arithmetic number, because the mean of its divisors is an integer number (99469526400).

Almost surely, 25514050534544 is an apocalyptic number.

5514050534544 is a gapful number since it is divisible by the number (54) 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 5514050534544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957562112000).

5514050534544 is an abundant number, since it is smaller than the sum of its proper divisors (10401073689456).

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

5514050534544 is a wasteful number, since it uses less digits than its factorization.

5514050534544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33370 (or 33358 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 5514050534544 in words is "five trillion, five hundred fourteen billion, fifty million, five hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1592 1791 2063 2388 3184 3582 4126 4776 5373 6189 7164 8252 9552 10746 12378 14328 16504 18567 21492 24756 28656 31091 33008 37134 42984 49512 55701 62182 74268 85968 93273 99024 111402 124364 148536 186546 222804 248728 279819 297072 373092 410537 445608 497456 559638 746184 821074 839457 891216 1119276 1231611 1492368 1642148 1678914 2238552 2463222 3284296 3357828 3694833 4477104 4926444 6187109 6568592 6715656 7389666 9852888 11084499 12374218 13431312 14779332 18561327 19705776 22168998 24748436 29558664 37122654 44337996 49496872 55683981 59117328 64140733 74245308 88675992 98993744 111367962 128281466 148490616 167051943 177351984 192422199 222735924 256562932 296981232 334103886 384844398 445471848 513125864 577266597 668207772 769688796 890943696 1026251728 1154533194 1336415544 1539377592 1731799791 2309066388 2672831088 3078755184 3463599582 4618132776 6927199164 9236265552 12764005867 13854398328 25528011734 27708796656 38292017601 51056023468 76584035202 102112046936 114876052803 153168070404 204224093872 229752105606 306336140808 344628158409 459504211212 612672281616 689256316818 919008422424 1378512633636 1838016844848 2757025267272 5514050534544