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4082783369472 = 283217671555787
BaseRepresentation
bin111011011010011000110…
…110100011100100000000
3112110022101012012121001100
4323122120312203210000
51013343020020310342
612403334344534400
7600654115016403
oct73323066434400
915408335177040
104082783369472
1113345538573a5
1255b32ba81400
1323800a786c22
14101871a0dd3a
15713089cae4c
hex3b698da3900

4082783369472 has 216 divisors, whose sum is σ = 12650162013216. Its totient is φ = 1261754892288.

The previous prime is 4082783369471. The next prime is 4082783369477. The reversal of 4082783369472 is 2749633872804.

4082783369472 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 78 + 33 + 69 + 472 = 666.

It is not an unprimeable number, because it can be changed into a prime (4082783369471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846363 + ... + 3402149.

It is an arithmetic number, because the mean of its divisors is an integer number (58565564876).

Almost surely, 24082783369472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082783369472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6325081006608).

4082783369472 is an abundant number, since it is smaller than the sum of its proper divisors (8567378643744).

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

4082783369472 is a wasteful number, since it uses less digits than its factorization.

4082783369472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555893 (or 1555876 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 4082783369472 in words is "four trillion, eighty-two billion, seven hundred eighty-three million, three hundred sixty-nine thousand, four hundred seventy-two".