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2006631682224 = 243138338744047
BaseRepresentation
bin11101001100110100100…
…100011001000010110000
321002211110121112012202020
4131030310210121002300
5230334040202312344
64133500040551440
7264655126605411
oct35146444310260
97084417465666
102006631682224
1170400a2a98a4
12284a94a82580
131172bc46c5b0
146d19b531808
15372e52e0719
hex1d3349190b0

2006631682224 has 80 divisors (see below), whose sum is σ = 5649812055552. Its totient is φ = 609986260224.

The previous prime is 2006631682213. The next prime is 2006631682313. The reversal of 2006631682224 is 4222861366002.

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 15 ways as a sum of consecutive naturals, for example, 19320232 + ... + 19423815.

Almost surely, 22006631682224 is an apocalyptic number.

2006631682224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2006631682224 is an abundant number, since it is smaller than the sum of its proper divisors (3643180373328).

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

2006631682224 is a wasteful number, since it uses less digits than its factorization.

2006631682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38744154 (or 38744148 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 2006631682224 in words is "two trillion, six billion, six hundred thirty-one million, six hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 83 104 156 166 208 249 312 332 498 624 664 996 1079 1328 1992 2158 3237 3984 4316 6474 8632 12948 17264 25896 51792 38744047 77488094 116232141 154976188 232464282 309952376 464928564 503672611 619904752 929857128 1007345222 1511017833 1859714256 2014690444 3022035666 3215755901 4029380888 6044071332 6431511802 8058761776 9647267703 12088142664 12863023604 19294535406 24176285328 25726047208 38589070812 41804826713 51452094416 77178141624 83609653426 125414480139 154356283248 167219306852 250828960278 334438613704 501657920556 668877227408 1003315841112 2006631682224