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55789081250672 = 247111273071161439
BaseRepresentation
bin11001010111101011010000…
…10111101100101101110000
321022112101100222212012021102
430223311220113230231300
524303022014300010142
6314353052231343532
714515425304225010
oct1453655027545560
9238471328765242
1055789081250672
111685a01aa47370
12631036a521ba8
132518b70616993
14dac2c5155c40
1566b306cd3532
hex32bd685ecb70

55789081250672 has 160 divisors (see below), whose sum is σ = 136266905026560. Its totient is φ = 21494593693440.

The previous prime is 55789081250663. The next prime is 55789081250681. The reversal of 55789081250672 is 27605218098755.

It is an interprime number because it is at equal distance from previous prime (55789081250663) and next prime (55789081250681).

It is a super-2 number, since 2×557890812506722 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55789081250599 and 55789081250608.

It is a congruent number.

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, 47453729 + ... + 48615167.

It is an arithmetic number, because the mean of its divisors is an integer number (851668156416).

Almost surely, 255789081250672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55789081250672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68133452513280).

55789081250672 is an abundant number, since it is smaller than the sum of its proper divisors (80477823775888).

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

55789081250672 is a wasteful number, since it uses less digits than its factorization.

55789081250672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161899 (or 1161893 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 65.

The spelling of 55789081250672 in words is "fifty-five trillion, seven hundred eighty-nine billion, eighty-one million, two hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 127 154 176 254 307 308 508 614 616 889 1016 1228 1232 1397 1778 2032 2149 2456 2794 3377 3556 4298 4912 5588 6754 7112 8596 9779 11176 13508 14224 17192 19558 22352 23639 27016 34384 38989 39116 47278 54032 77978 78232 94556 155956 156464 189112 272923 311912 378224 428879 545846 623824 857758 1091692 1161439 1715516 2183384 2322878 3002153 3431032 4366768 4645756 6004306 6862064 8130073 9291512 12008612 12775829 16260146 18583024 24017224 25551658 32520292 48034448 51103316 65040584 89430803 102206632 130081168 147502753 178861606 204413264 295005506 356561773 357723212 590011012 713123546 715446424 1032519271 1180022024 1426247092 1430892848 1622530283 2065038542 2360044048 2495932411 2852494184 3245060566 3922179503 4130077084 4991864822 5704988368 6490121132 7844359006 8260154168 9983729644 11357711981 12980242264 15688718012 16520308336 19967459288 22715423962 25960484528 27455256521 31377436024 39934918576 45283345171 45430847924 54910513042 62754872048 90566690342 90861695848 109821026084 181133380684 181723391696 219642052168 316983416197 362266761368 439284104336 498116796881 633966832394 724533522736 996233593762 1267933664788 1992467187524 2535867329576 3486817578167 3984934375048 5071734659152 6973635156334 7969868750096 13947270312668 27894540625336 55789081250672