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506106031005 = 3451249644521
BaseRepresentation
bin1110101110101100100…
…01010010101110011101
31210101100101210020010000
413113112101102232131
531243001120443010
61024300224404513
751364531166121
oct7272621225635
91711311706100
10506106031005
11185702729a13
1282105a76739
133895818c483
141a6d2153581
15d271c127c0
hex75d6452b9d

506106031005 has 20 divisors (see below), whose sum is σ = 907241922972. Its totient is φ = 269923216320.

The previous prime is 506106030973. The next prime is 506106031021. The reversal of 506106031005 is 500130601605.

It is a happy number.

506106031005 is a `hidden beast` number, since 50 + 6 + 1 + 0 + 603 + 1 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 347022315396 + 159083715609 = 589086^2 + 398853^2 .

It is not a de Polignac number, because 506106031005 - 25 = 506106030973 is a prime.

It is a super-2 number, since 2×5061060310052 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 506106031005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 624821856 + ... + 624822665.

Almost surely, 2506106031005 is an apocalyptic number.

It is an amenable number.

506106031005 is a deficient number, since it is larger than the sum of its proper divisors (401135891967).

506106031005 is a wasteful number, since it uses less digits than its factorization.

506106031005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249644538 (or 1249644529 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 506106031005 in words is "five hundred six billion, one hundred six million, thirty-one thousand, five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1249644521 3748933563 6248222605 11246800689 18744667815 33740402067 56234003445 101221206201 168702010335 506106031005