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4506104031 = 31113174314369
BaseRepresentation
bin1000011001001010…
…11011000011011111
3102122001000210122220
410030211123003133
533212030312111
62023045240423
7216444152352
oct41445330337
912561023586
104506104031
111a0263a720
12a59103113
1356a732c60
1430a658299
151b58e6e06
hex10c95b0df

4506104031 has 64 divisors (see below), whose sum is σ = 7648058880. Its totient is φ = 2317271040.

The previous prime is 4506104027. The next prime is 4506104033. The reversal of 4506104031 is 1304016054.

It is not a de Polignac number, because 4506104031 - 22 = 4506104027 is a prime.

It is a super-2 number, since 2×45061040312 = 40609947076388897922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4506103992 and 4506104010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4506104033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306415 + ... + 320783.

It is an arithmetic number, because the mean of its divisors is an integer number (119500920).

Almost surely, 24506104031 is an apocalyptic number.

4506104031 is a deficient number, since it is larger than the sum of its proper divisors (3141954849).

4506104031 is a wasteful number, since it uses less digits than its factorization.

4506104031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4506104031 is about 67127.5206677559. The cubic root of 4506104031 is about 1651.7097711149.

The spelling of 4506104031 in words is "four billion, five hundred six million, one hundred four thousand, thirty-one".

Divisors: 1 3 11 13 17 33 39 43 51 129 143 187 221 429 473 559 561 663 731 1419 1677 2193 2431 6149 7293 8041 9503 14369 18447 24123 28509 43107 104533 158059 186797 244273 313599 474177 560391 617867 732819 1853601 2054767 2687003 3175549 6164301 6796537 8032271 8061009 9526647 10503739 20389611 24096813 31511217 34931039 88354981 104793117 115541129 136548607 265064943 346623387 409645821 1502034677 4506104031