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10534008550464 = 26337217219139163
BaseRepresentation
bin1001100101001010001111…
…0101100111010001000000
31101022001010011112022221000
42121102203311213101000
52340042122142103324
634223131241332000
72135025360210600
oct231224365472100
941261104468830
1010534008550464
1133a14a2229873
12122168a197000
135b5477c94929
14285bc4cd8c00
151340315639c9
hex994a3d67440

10534008550464 has 2016 divisors, whose sum is σ = 40820547264000. Its totient is φ = 2647934779392.

The previous prime is 10534008550463. The next prime is 10534008550477. The reversal of 10534008550464 is 46405580043501.

10534008550464 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 0 + 0 + 85 + 504 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×105340085504642 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10534008550463) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 64625819247 + ... + 64625819409.

Almost surely, 210534008550464 is an apocalyptic number.

10534008550464 is a gapful number since it is divisible by the number (14) 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 10534008550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20410273632000).

10534008550464 is an abundant number, since it is smaller than the sum of its proper divisors (30286538713536).

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

10534008550464 is a wasteful number, since it uses less digits than its factorization.

10534008550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 10534008550464 its reverse (46405580043501), we get a palindrome (56939588593965).

The spelling of 10534008550464 in words is "ten trillion, five hundred thirty-four billion, eight million, five hundred fifty thousand, four hundred sixty-four".