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2282048444046 = 237671283632083
BaseRepresentation
bin100001001101010100101…
…011111101011010001110
322002011100212202100102110
4201031110223331122032
5244342113400202141
64504205242004450
7323605200502530
oct41152453753216
98064325670373
102282048444046
117aa8a1943428
1230a3394a6726
131372721c4807
147c6477b5850
153e5646a1e16
hex21354afd68e

2282048444046 has 64 divisors (see below), whose sum is σ = 5298097747968. Its totient is φ = 641780666208.

The previous prime is 2282048444029. The next prime is 2282048444069. The reversal of 2282048444046 is 6404448402822.

It is a junction number, because it is equal to n+sod(n) for n = 2282048443986 and 2282048444004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3294321 + ... + 3926403.

It is an arithmetic number, because the mean of its divisors is an integer number (82782777312).

Almost surely, 22282048444046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282048444046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649048873984).

2282048444046 is an abundant number, since it is smaller than the sum of its proper divisors (3016049303922).

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

2282048444046 is a wasteful number, since it uses less digits than its factorization.

2282048444046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633445.

The product of its (nonzero) digits is 3145728, while the sum is 48.

The spelling of 2282048444046 in words is "two trillion, two hundred eighty-two billion, forty-eight million, four hundred forty-four thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 938 1283 1407 2566 2814 3849 7698 8981 17962 26943 53886 85961 171922 257883 515766 601727 632083 1203454 1264166 1805181 1896249 3610362 3792498 4424581 8849162 13273743 26547486 42349561 84699122 127048683 254097366 296446927 592893854 810962489 889340781 1621924978 1778681562 2432887467 4865774934 5676737423 11353474846 17030212269 34060424538 54334486763 108668973526 163003460289 326006920578 380341407341 760682814682 1141024222023 2282048444046