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55000600561008 = 24321133679210017
BaseRepresentation
bin11001000000101110100110…
…10000100100010101110000
321012202000011102100001101100
430200113103100210111300
524202112212220423013
6312550532130004400
714404443104030064
oct1440272320442560
9235660142301340
1055000600561008
1116585695176a63
126203599a16700
13248c6c404b28b
14d82086a41aa4
15655a59e60473
hex3205d3424570

55000600561008 has 120 divisors (see below), whose sum is σ = 155710606079808. Its totient is φ = 18121774841856.

The previous prime is 55000600561003. The next prime is 55000600561057. The reversal of 55000600561008 is 80016500600055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55000600561003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1366816 + ... + 10576832.

Almost surely, 255000600561008 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 55000600561008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77855303039904).

55000600561008 is an abundant number, since it is smaller than the sum of its proper divisors (100710005518800).

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

55000600561008 is a wasteful number, since it uses less digits than its factorization.

55000600561008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210511 (or 9210502 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 55000600561008 in words is "fifty-five trillion, six hundred million, five hundred sixty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 367 452 678 734 904 1017 1101 1356 1468 1808 2034 2202 2712 2936 3303 4068 4404 5424 5872 6606 8136 8808 13212 16272 17616 26424 41471 52848 82942 124413 165884 248826 331768 373239 497652 663536 746478 995304 1492956 1990608 2985912 5971824 9210017 18420034 27630051 36840068 55260102 73680136 82890153 110520204 147360272 165780306 221040408 331560612 442080816 663121224 1040731921 1326242448 2081463842 3122195763 3380076239 4162927684 6244391526 6760152478 8325855368 9366587289 10140228717 12488783052 13520304956 16651710736 18733174578 20280457434 24977566104 27040609912 30420686151 37466349156 40560914868 49955132208 54081219824 60841372302 74932698312 81121829736 121682744604 149865396624 162243659472 243365489208 381948615007 486730978416 763897230014 1145845845021 1527794460028 2291691690042 3055588920056 3437537535063 4583383380084 6111177840112 6875075070126 9166766760168 13750150140252 18333533520336 27500300280504 55000600561008