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55505000034 = 2361117203579
BaseRepresentation
bin110011101100010110…
…110001011001100010
312022021020110011000000
4303230112301121202
51402133240000114
641255412440430
74003315500351
oct635426613142
9168236404000
1055505000034
11215a3142060
12a910619116
1353074144b3
1429878c9998
15169cd00e09
hexcec5b1662

55505000034 has 112 divisors (see below), whose sum is σ = 144188385120. Its totient is φ = 15830225280.

The previous prime is 55505000027. The next prime is 55505000039. The reversal of 55505000034 is 43000050555.

55505000034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55504999971 and 55505000007.

It is not an unprimeable number, because it can be changed into a prime (55505000039) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 170857 + ... + 374435.

Almost surely, 255505000034 is an apocalyptic number.

55505000034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55505000034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72094192560).

55505000034 is an abundant number, since it is smaller than the sum of its proper divisors (88683385086).

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

55505000034 is a wasteful number, since it uses less digits than its factorization.

55505000034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203627 (or 203612 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

Adding to 55505000034 its reverse (43000050555), we get a palindrome (98505050589).

The spelling of 55505000034 in words is "fifty-five billion, five hundred five million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 243 297 306 374 459 486 561 594 729 891 918 1122 1377 1458 1683 1782 2673 2754 3366 4131 5049 5346 8019 8262 10098 12393 15147 16038 24786 30294 45441 90882 136323 203579 272646 407158 610737 1221474 1832211 2239369 3460843 3664422 4478738 5496633 6718107 6921686 10382529 10993266 13436214 16489899 20154321 20765058 31147587 32979798 38069273 40308642 49469697 60462963 62295174 76138546 93442761 98939394 114207819 120925926 148409091 181388889 186885522 228415638 280328283 296818182 342623457 362777778 544166667 560656566 685246914 840984849 1027870371 1088333334 1632500001 1681969698 2055740742 2522954547 3083611113 3265000002 5045909094 6167222226 9250833339 18501666678 27752500017 55505000034