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5500032560 = 2451146313499
BaseRepresentation
bin1010001111101001…
…11101011000110000
3112012022021121021122
411013310331120300
542231002020220
62305432441412
7253203335231
oct50764753060
915168247248
105500032560
112372696960
121095b49268
13698625749
143a2665088
15222cc9425
hex147d3d630

5500032560 has 80 divisors (see below), whose sum is σ = 13981248000. Its totient is φ = 1995544320.

The previous prime is 5500032541. The next prime is 5500032611. The reversal of 5500032560 is 652300055.

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

It is a super-2 number, since 2×55000325602 = 60500716322120307200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400691 + ... + 414189.

It is an arithmetic number, because the mean of its divisors is an integer number (174765600).

Almost surely, 25500032560 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 5500032560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990624000).

5500032560 is an abundant number, since it is smaller than the sum of its proper divisors (8481215440).

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

5500032560 is a wasteful number, since it uses less digits than its factorization.

5500032560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13986 (or 13980 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 5500032560 is about 74162.2043901070. The cubic root of 5500032560 is about 1765.1776509332.

The spelling of 5500032560 in words is "five billion, five hundred million, thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 463 880 926 1852 2315 3704 4630 5093 7408 9260 10186 13499 18520 20372 25465 26998 37040 40744 50930 53996 67495 81488 101860 107992 134990 148489 203720 215984 269980 296978 407440 539960 593956 742445 1079920 1187912 1484890 2375824 2969780 5939560 6250037 11879120 12500074 25000148 31250185 50000296 62500370 68750407 100000592 125000740 137500814 250001480 275001628 343752035 500002960 550003256 687504070 1100006512 1375008140 2750016280 5500032560