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55416554000 = 2453269310289
BaseRepresentation
bin110011100111000101…
…011000001000010000
312022001002000121211222
4303213011120020100
51401443114212000
641242533024212
74001162636243
oct634705301020
9168032017758
1055416554000
1121558222265
12a8a6a85068
1352c1cb7972
142979c6525a
15169517ea85
hexce7158210

55416554000 has 80 divisors (see below), whose sum is σ = 134060013360. Its totient is φ = 22156236800.

The previous prime is 55416553991. The next prime is 55416554033. The reversal of 55416554000 is 45561455.

It can be written as a sum of positive squares in 8 ways, for example, as 9476633104 + 45939920896 = 97348^2 + 214336^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5380856 + ... + 5391144.

It is an arithmetic number, because the mean of its divisors is an integer number (1675750167).

Almost surely, 255416554000 is an apocalyptic number.

55416554000 is a gapful number since it is divisible by the number (50) 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 55416554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67030006680).

55416554000 is an abundant number, since it is smaller than the sum of its proper divisors (78643459360).

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

55416554000 is a wasteful number, since it uses less digits than its factorization.

55416554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005 (or 12989 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 55416554000 in words is "fifty-five billion, four hundred sixteen million, five hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2693 5386 10289 10772 13465 20578 21544 26930 41156 43088 51445 53860 67325 82312 102890 107720 134650 164624 205780 215440 257225 269300 336625 411560 514450 538600 673250 823120 1028900 1077200 1286125 1346500 2057800 2572250 2693000 4115600 5144500 5386000 10289000 20578000 27708277 55416554 110833108 138541385 221666216 277082770 443332432 554165540 692706925 1108331080 1385413850 2216662160 2770827700 3463534625 5541655400 6927069250 11083310800 13854138500 27708277000 55416554000