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9006022804001 = 112958611361029
BaseRepresentation
bin1000001100001110000011…
…0010100100001000100001
31011212222010012202222020012
42003003200302210020201
52140023313314212001
631053150524054305
71616443432521506
oct203034062441041
934788105688205
109006022804001
1129624840a49a3
121015516994395
135043588b1242
14231c7294d4ad
1510940231b2bb
hex830e0ca4221

9006022804001 has 8 divisors (see below), whose sum is σ = 9015544381800. Its totient is φ = 8996503962240.

The previous prime is 9006022803893. The next prime is 9006022804003. The reversal of 9006022804001 is 1004082206009.

It can be written as a sum of positive squares in 4 ways, for example, as 50996478976 + 8955026325025 = 225824^2 + 2992495^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9006022804001 - 222 = 9006018609697 is a prime.

It is a super-2 number, since 2×90060228040012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9006022804003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5936555 + ... + 7297583.

It is an arithmetic number, because the mean of its divisors is an integer number (1126943047725).

Almost surely, 29006022804001 is an apocalyptic number.

It is an amenable number.

9006022804001 is a deficient number, since it is larger than the sum of its proper divisors (9521577799).

9006022804001 is a wasteful number, since it uses less digits than its factorization.

9006022804001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368019.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 9006022804001 in words is "nine trillion, six billion, twenty-two million, eight hundred four thousand, one".

Divisors: 1 1129 5861 1361029 6617069 1536601741 7976990969 9006022804001