Search a number
-
+
550040306784 = 25383491140593
BaseRepresentation
bin10000000000100001111…
…01010000010001100000
31221120202020212200101020
420000100331100101200
533002440304304114
61100403544405440
754511340315523
oct10002075202140
91846666780336
10550040306784
111a22a8460641
128a727476880
133cb3a360b67
141c89d046bba
15e493cdaaa9
hex8010f50460

550040306784 has 96 divisors (see below), whose sum is σ = 1464238145664. Its totient is φ = 180767569920.

The previous prime is 550040306743. The next prime is 550040306807. The reversal of 550040306784 is 487603040055.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3841992 + ... + 3982584.

It is an arithmetic number, because the mean of its divisors is an integer number (15252480684).

Almost surely, 2550040306784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550040306784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732119072832).

550040306784 is an abundant number, since it is smaller than the sum of its proper divisors (914197838880).

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

550040306784 is a wasteful number, since it uses less digits than its factorization.

550040306784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141180 (or 141172 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 550040306784 in words is "five hundred fifty billion, forty million, three hundred six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 491 498 664 982 996 1328 1473 1964 1992 2656 2946 3928 3984 5892 7856 7968 11784 15712 23568 40753 47136 81506 122259 140593 163012 244518 281186 326024 421779 489036 562372 652048 843558 978072 1124744 1304096 1687116 1956144 2249488 3374232 3912288 4498976 6748464 11669219 13496928 23338438 35007657 46676876 69031163 70015314 93353752 138062326 140030628 186707504 207093489 276124652 280061256 373415008 414186978 552249304 560122512 828373956 1104498608 1120245024 1656747912 2208997216 3313495824 5729586529 6626991648 11459173058 17188759587 22918346116 34377519174 45836692232 68755038348 91673384464 137510076696 183346768928 275020153392 550040306784