Search a number
-
+
55005005000 = 2354113132261
BaseRepresentation
bin110011001110100011…
…011100010011001000
312020222101121202202102
4303032203130103020
51400122240130000
641134032052532
73655034554031
oct631643342310
9166871552672
1055005005000
1121366989420
12a7b1094148
13525796174a
14293b335a88
15166de893d5
hexcce8dc4c8

55005005000 has 160 divisors (see below), whose sum is σ = 145132542720. Its totient is φ = 19356000000.

The previous prime is 55005004991. The next prime is 55005005017. The reversal of 55005005000 is 50050055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 39 ways as a sum of consecutive naturals, for example, 1688870 + ... + 1721130.

It is an arithmetic number, because the mean of its divisors is an integer number (907078392).

Almost surely, 255005005000 is an apocalyptic number.

55005005000 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 55005005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72566271360).

55005005000 is an abundant number, since it is smaller than the sum of its proper divisors (90127537720).

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

55005005000 is a wasteful number, since it uses less digits than its factorization.

55005005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32329 (or 32310 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

Adding to 55005005000 its reverse (50050055), we get a palindrome (55055055055).

It can be divided in two parts, 5 and 5005005000, that added together give a palindrome (5005005005).

The spelling of 55005005000 in words is "fifty-five billion, five million, five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 125 155 200 220 248 250 275 310 341 440 500 550 620 625 682 775 1000 1100 1240 1250 1364 1375 1550 1705 2200 2500 2728 2750 3100 3410 3875 5000 5500 6200 6820 6875 7750 8525 11000 13640 13750 15500 17050 19375 27500 31000 32261 34100 38750 42625 55000 64522 68200 77500 85250 129044 155000 161305 170500 213125 258088 322610 341000 354871 426250 645220 709742 806525 852500 1000091 1290440 1419484 1613050 1705000 1774355 2000182 2838968 3226100 3548710 4000364 4032625 5000455 6452200 7097420 8000728 8065250 8871775 10000910 11001001 14194840 16130500 17743550 20001820 20163125 22002002 25002275 32261000 35487100 40003640 40326250 44004004 44358875 50004550 55005005 70974200 80652500 88008008 88717750 100009100 110010010 125011375 161305000 177435500 200018200 220020020 221794375 250022750 275025025 354871000 440040040 443588750 500045500 550050050 625056875 887177500 1000091000 1100100100 1250113750 1375125125 1774355000 2200200200 2500227500 2750250250 5000455000 5500500500 6875625625 11001001000 13751251250 27502502500 55005005000