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5500105506 = 23271723111641
BaseRepresentation
bin1010001111101010…
…01111001100100010
3112012022102022100100
411013311033030202
542231011334011
62305434203230
7253204061010
oct50765171442
915168368310
105500105506
112372736745
121095b83516
1369864c9cc
143a26838b0
15222ce0d56
hex147d4f322

5500105506 has 96 divisors (see below), whose sum is σ = 15047555328. Its totient is φ = 1414702080.

The previous prime is 5500105451. The next prime is 5500105603. The reversal of 5500105506 is 6055010055.

5500105506 is a `hidden beast` number, since 5 + 50 + 0 + 105 + 506 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5500105506.

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 47 ways as a sum of consecutive naturals, for example, 6555 + ... + 105086.

It is an arithmetic number, because the mean of its divisors is an integer number (156745368).

Almost surely, 25500105506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5500105506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523777664).

5500105506 is an abundant number, since it is smaller than the sum of its proper divisors (9547449822).

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

5500105506 is a wasteful number, since it uses less digits than its factorization.

5500105506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111696 (or 111693 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 5500105506 is about 74162.6961888522. The cubic root of 5500105506 is about 1765.1854546494.

The spelling of 5500105506 in words is "five billion, five hundred million, one hundred five thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 51 63 69 102 119 126 138 153 161 207 238 306 322 357 391 414 483 714 782 966 1071 1173 1449 2142 2346 2737 2898 3519 5474 7038 8211 16422 24633 49266 111641 223282 334923 669846 781487 1004769 1562974 1897897 2009538 2344461 2567743 3795794 4688922 5135486 5693691 7033383 7703229 11387382 13285279 14066766 15406458 17081073 17974201 23109687 26570558 34162146 35948402 39855837 43651631 46219374 53922603 79711674 87303262 107845206 119567511 130954893 161767809 239135022 261909786 305561417 323535618 392864679 611122834 785729358 916684251 1833368502 2750052753 5500105506