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55381109820456 = 2337895696509537
BaseRepresentation
bin11001001011110011010110…
…11000001100110000101000
321021002101022202122012202110
430211321223120030300220
524224331003103223311
6313441421452002320
714444103346254450
oct1445715330146050
9237071282565673
1055381109820456
1116711aa6790512
1262652917603a0
1324b9554659534
14d96662404d60
156608ca6848a6
hex325e6b60cc28

55381109820456 has 128 divisors (see below), whose sum is σ = 160290863712000. Its totient is φ = 15617887076352.

The previous prime is 55381109820451. The next prime is 55381109820481. The reversal of 55381109820456 is 65402890118355.

It is a junction number, because it is equal to n+sod(n) for n = 55381109820396 and 55381109820405.

It is not an unprimeable number, because it can be changed into a prime (55381109820451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5252920 + ... + 11762456.

It is an arithmetic number, because the mean of its divisors is an integer number (1252272372750).

Almost surely, 255381109820456 is an apocalyptic number.

55381109820456 is a gapful number since it is divisible by the number (56) 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 55381109820456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80145431856000).

55381109820456 is an abundant number, since it is smaller than the sum of its proper divisors (104909753891544).

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

55381109820456 is a wasteful number, since it uses less digits than its factorization.

55381109820456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510211 (or 6510207 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 57.

The spelling of 55381109820456 in words is "fifty-five trillion, three hundred eighty-one billion, one hundred nine million, eight hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 569 623 712 1068 1138 1246 1707 1869 2136 2276 2492 3414 3738 3983 4552 4984 6828 7476 7966 11949 13656 14952 15932 23898 31864 47796 50641 95592 101282 151923 202564 303846 354487 405128 607692 708974 1063461 1215384 1417948 2126922 2835896 4253844 6509537 8507688 13019074 19528611 26038148 39057222 45566759 52076296 78114444 91133518 136700277 156228888 182267036 273400554 364534072 546801108 579348793 1093602216 1158697586 1738046379 2317395172 3476092758 3703926553 4055441551 4634790344 6952185516 7407853106 8110883102 11111779659 12166324653 13904371032 14815706212 16221766204 22223559318 24332649306 25927485871 29631412424 32443532408 44447118636 48665298612 51854971742 77782457613 88894237272 97330597224 103709943484 155564915226 207419886968 311129830452 329649463217 622259660904 659298926434 988948389651 1318597852868 1977896779302 2307546242519 2637195705736 3955793558604 4615092485038 6922638727557 7911587117208 9230184970076 13845277455114 18460369940152 27690554910228 55381109820456