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55533000006 = 233111928317387
BaseRepresentation
bin110011101110000001…
…100101010101000110
312022100012010200202000
4303232001211111012
51402212422000011
641302252530130
74004105466051
oct635601452506
9168305120660
1055533000006
1121607a26930
12a919a80946
135310169023
14298b4d7a98
1516a04d2356
hexcee065546

55533000006 has 128 divisors (see below), whose sum is σ = 142219929600. Its totient is φ = 15885240480.

The previous prime is 55532999953. The next prime is 55533000053. The reversal of 55533000006 is 60000033555.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3185245 + ... + 3202631.

It is an arithmetic number, because the mean of its divisors is an integer number (1111093200).

Almost surely, 255533000006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55533000006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71109964800).

55533000006 is an abundant number, since it is smaller than the sum of its proper divisors (86686929594).

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

55533000006 is a wasteful number, since it uses less digits than its factorization.

55533000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17711 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The spelling of 55533000006 in words is "fifty-five billion, five hundred thirty-three million, six", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 283 297 342 418 513 566 594 627 849 1026 1254 1698 1881 2547 3113 3762 5094 5377 5643 6226 7641 9339 10754 11286 15282 16131 17387 18678 28017 32262 34774 48393 52161 56034 59147 84051 96786 104322 118294 145179 156483 168102 177441 191257 290358 312966 330353 354882 382514 469449 532323 573771 660706 938898 991059 1064646 1147542 1596969 1721313 1982118 2973177 3193938 3442626 3633883 4920521 5163939 5946354 7267766 8919531 9841042 10327878 10901649 14761563 17839062 21803298 29523126 32704947 44284689 54125731 65409894 88569378 93489899 98114841 108251462 132854067 162377193 186979798 196229682 265708134 280469697 324754386 487131579 560939394 841409091 974263158 1028388889 1461394737 1682818182 2056777778 2524227273 2922789474 3085166667 5048454546 6170333334 9255500001 18511000002 27766500003 55533000006