Search a number
-
+
55551011004 = 223323220710133
BaseRepresentation
bin110011101111000110…
…010010100010111100
312022101110000202012000
4303233012102202330
51402232024323004
641304134542300
74004414542206
oct635706224274
9168343022160
1055551011004
1121617108855
12a923b07990
135313b04018
14298da65776
1516a1d8dc39
hexcef1928bc

55551011004 has 96 divisors (see below), whose sum is σ = 150365859840. Its totient is φ = 17702144064.

The previous prime is 55551010997. The next prime is 55551011053. The reversal of 55551011004 is 40011015555.

55551011004 is a `hidden beast` number, since 5 + 5 + 551 + 0 + 1 + 100 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5477122 + ... + 5487254.

It is an arithmetic number, because the mean of its divisors is an integer number (1566311040).

Almost surely, 255551011004 is an apocalyptic number.

55551011004 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 55551011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75182929920).

55551011004 is an abundant number, since it is smaller than the sum of its proper divisors (94814848836).

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

55551011004 is a wasteful number, since it uses less digits than its factorization.

55551011004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 55551011004 its reverse (40011015555), we get a palindrome (95562026559).

The spelling of 55551011004 in words is "fifty-five billion, five hundred fifty-one million, eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2207 2484 4414 6621 8828 10133 13242 19863 20266 26484 30399 39726 40532 50761 59589 60798 79452 91197 101522 119178 121596 152283 182394 203044 233059 238356 273591 304566 364788 456849 466118 547182 609132 699177 913698 932236 1094364 1370547 1398354 1827396 2097531 2741094 2796708 4195062 5482188 6292593 8390124 12585186 22363531 25170372 44727062 67090593 89454124 134181186 201271779 268362372 402543558 514361213 603815337 805087116 1028722426 1207630674 1543083639 2057444852 2415261348 3086167278 4629250917 6172334556 9258501834 13887752751 18517003668 27775505502 55551011004