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905238042828 = 223723149661951
BaseRepresentation
bin11010010110001000110…
…01000101100011001100
310012112120121002020011120
431023010121011203030
5104312411414332303
61531505520520540
7122254433256300
oct15130431054314
93175517066146
10905238042828
11319a00303a09
12127536480150
1367495a31a32
1431b56d2dd00
1518832304553
hexd2c46458cc

905238042828 has 72 divisors (see below), whose sum is σ = 2536335212544. Its totient is φ = 250296228000.

The previous prime is 905238042809. The next prime is 905238042847. The reversal of 905238042828 is 828240832509.

It is an interprime number because it is at equal distance from previous prime (905238042809) and next prime (905238042847).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24812748 + ... + 24849203.

It is an arithmetic number, because the mean of its divisors is an integer number (35226877952).

Almost surely, 2905238042828 is an apocalyptic number.

905238042828 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

905238042828 is an abundant number, since it is smaller than the sum of its proper divisors (1631097169716).

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

905238042828 is a wasteful number, since it uses less digits than its factorization.

905238042828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49662003 (or 49661994 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 905238042828 in words is "nine hundred five billion, two hundred thirty-eight million, forty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2604 3038 4557 6076 9114 18228 49661951 99323902 148985853 198647804 297971706 347633657 595943412 695267314 1042900971 1390534628 1539520481 2085801942 2433435599 3079040962 4171603884 4618561443 4866871198 6158081924 7300306797 9237122886 9733742396 10776643367 14600613594 18474245772 21553286734 29201227188 32329930101 43106573468 64659860202 75436503569 129319720404 150873007138 226309510707 301746014276 452619021414 905238042828