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5006066031 = 33317381931
BaseRepresentation
bin1001010100110001…
…01000000101101111
3110220212210111121000
410222120220011233
540223023103111
62144425211343
7235024600461
oct45230500557
913825714530
105006066031
11213988055a
12b78630b53
1361a1a3965
14356c00131
151e4753c56
hex12a62816f

5006066031 has 32 divisors (see below), whose sum is σ = 7760599040. Its totient is φ = 3185438400.

The previous prime is 5006066027. The next prime is 5006066053. The reversal of 5006066031 is 1306606005.

5006066031 is a `hidden beast` number, since 50 + 0 + 6 + 0 + 6 + 603 + 1 = 666.

It is not a de Polignac number, because 5006066031 - 22 = 5006066027 is a prime.

It is a super-2 number, since 2×50060660312 = 50121394213464185922, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5006065986 and 5006066004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006166031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20136 + ... + 102066.

It is an arithmetic number, because the mean of its divisors is an integer number (242518720).

Almost surely, 25006066031 is an apocalyptic number.

5006066031 is a deficient number, since it is larger than the sum of its proper divisors (2754533009).

5006066031 is a wasteful number, since it uses less digits than its factorization.

5006066031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82044 (or 82038 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5006066031 is about 70753.5584334809. The cubic root of 5006066031 is about 1710.6671850206.

The spelling of 5006066031 in words is "five billion, six million, sixty-six thousand, thirty-one".

Divisors: 1 3 9 27 31 73 93 219 279 657 837 1971 2263 6789 20367 61101 81931 245793 737379 2212137 2539861 5980963 7619583 17942889 22858749 53828667 68576247 161486001 185409853 556229559 1668688677 5006066031