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55187284096 = 27734332903
BaseRepresentation
bin110011011001011010…
…110010000010000000
312021110002121111200001
4303121122302002000
51401010421042341
641204103005344
73662410114000
oct633132620200
9167402544601
1055187284096
112144a8683aa
12a842139854
135286652ab9
142957624000
15167ee92d31
hexcd96b2080

55187284096 has 128 divisors (see below), whose sum is σ = 128554272000. Its totient is φ = 23588941824.

The previous prime is 55187284049. The next prime is 55187284099. The reversal of 55187284096 is 69048278155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×551872840962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55187284099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19008981 + ... + 19011883.

It is an arithmetic number, because the mean of its divisors is an integer number (1004330250).

Almost surely, 255187284096 is an apocalyptic number.

55187284096 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 55187284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64277136000).

55187284096 is an abundant number, since it is smaller than the sum of its proper divisors (73366987904).

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

55187284096 is an equidigital number, since it uses as much as digits as its factorization.

55187284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 55187284096 in words is "fifty-five billion, one hundred eighty-seven million, two hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 433 448 686 784 866 896 1372 1568 1732 2744 2903 3031 3136 3464 5488 5806 6062 6272 6928 10976 11612 12124 13856 20321 21217 21952 23224 24248 27712 40642 42434 43904 46448 48496 55424 81284 84868 92896 96992 142247 148519 162568 169736 185792 193984 284494 297038 325136 339472 371584 387968 568988 594076 650272 678944 995729 1137976 1188152 1256999 1300544 1357888 1991458 2275952 2376304 2513998 2601088 2715776 3982916 4551904 4752608 5027996 7965832 8798993 9103808 9505216 10055992 15931664 17597986 18207616 19010432 20111984 31863328 35195972 40223968 61592951 63726656 70391944 80447936 123185902 127453312 140783888 160895872 246371804 281567776 431150657 492743608 563135552 862301314 985487216 1126271104 1724602628 1970974432 3449205256 3941948864 6898410512 7883897728 13796821024 27593642048 55187284096