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264590550054 = 233311129139999
BaseRepresentation
bin1111011001101011010…
…0110110010000100110
3221021221202210121002000
43312122310312100212
513313340140100204
6321315021430130
725054541365365
oct3663264662046
9837852717060
10264590550054
11a2237516486
1243342a0b346
131bc48b3826c
14cb404d17dc
156d38c00039
hex3d9ad36426

264590550054 has 64 divisors (see below), whose sum is σ = 607488000000. Its totient is φ = 85275581760.

The previous prime is 264590550047. The next prime is 264590550089. The reversal of 264590550054 is 450055095462.

264590550054 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 90 + 5 + 500 + 54 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 264590549991 and 264590550009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1819947 + ... + 1959945.

It is an arithmetic number, because the mean of its divisors is an integer number (9492000000).

Almost surely, 2264590550054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264590550054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303744000000).

264590550054 is an abundant number, since it is smaller than the sum of its proper divisors (342897449946).

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

264590550054 is a wasteful number, since it uses less digits than its factorization.

264590550054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141170 (or 141164 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 264590550054 in words is "two hundred sixty-four billion, five hundred ninety million, five hundred fifty thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1129 1674 2258 3387 6774 10161 20322 30483 34999 60966 69998 104997 139999 209994 279998 314991 419997 629982 839994 944973 1259991 1889946 2519982 3779973 4339969 7559946 8679938 13019907 26039814 39059721 78119442 117179163 158058871 234358326 316117742 474176613 948353226 1422529839 2845059678 4267589517 4899825001 8535179034 9799650002 14699475003 29398950006 44098425009 88196850018 132295275027 264590550054