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55185270084 = 22337206935281
BaseRepresentation
bin110011011001010011…
…000110010101000100
312021102221211011222000
4303121103012111010
51401004412120314
641203551505300
73662354025150
oct633123062504
9167387734860
1055185270084
112144971222a
12a841528230
1352860c9189
14295725c060
15167ebe6209
hexcd94c6544

55185270084 has 96 divisors (see below), whose sum is σ = 163595577600. Its totient is φ = 15759152640.

The previous prime is 55185270047. The next prime is 55185270109. The reversal of 55185270084 is 48007258155.

55185270084 is a `hidden beast` number, since 5 + 518 + 52 + 7 + 0 + 0 + 84 = 666.

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, 1546524 + ... + 1581804.

It is an arithmetic number, because the mean of its divisors is an integer number (1704120600).

Almost surely, 255185270084 is an apocalyptic number.

55185270084 is a gapful number since it is divisible by the number (54) 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 55185270084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81797788800).

55185270084 is an abundant number, since it is smaller than the sum of its proper divisors (108410307516).

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

55185270084 is a wasteful number, since it uses less digits than its factorization.

55185270084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37370 (or 37362 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 55185270084 in words is "fifty-five billion, one hundred eighty-five million, two hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 2069 4138 6207 8276 12414 14483 18621 24828 28966 35281 37242 43449 55863 57932 70562 74484 86898 105843 111726 130347 141124 173796 211686 223452 246967 260694 317529 391041 423372 493934 521388 635058 740901 782082 952587 987868 1270116 1481802 1564164 1905174 2222703 2963604 3810348 4445406 6668109 8890812 13336218 26672436 72996389 145992778 218989167 291985556 437978334 510974723 656967501 875956668 1021949446 1313935002 1532924169 1970902503 2043898892 2627870004 3065848338 3941805006 4598772507 6131696676 7883610012 9197545014 13796317521 18395090028 27592635042 55185270084