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4412285801 = 731179113131
BaseRepresentation
bin1000001101111111…
…00010001101101001
3102101111111100020122
410012333202031221
533014021121201
62005454333025
7214224545000
oct40677421551
912344440218
104412285801
1119646906a0
12a317ba175
13554175101
142dbdd5c37
151ac563e1b
hex106fe2369

4412285801 has 64 divisors (see below), whose sum is σ = 5778432000. Its totient is φ = 3338899200.

The previous prime is 4412285797. The next prime is 4412285803. The reversal of 4412285801 is 1085822144.

It is not a de Polignac number, because 4412285801 - 22 = 4412285797 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4412285803) 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, 33681506 + ... + 33681636.

It is an arithmetic number, because the mean of its divisors is an integer number (90288000).

Almost surely, 24412285801 is an apocalyptic number.

It is an amenable number.

4412285801 is a deficient number, since it is larger than the sum of its proper divisors (1366146199).

4412285801 is a wasteful number, since it uses less digits than its factorization.

4412285801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 4412285801 is about 66425.0389612230. The cubic root of 4412285801 is about 1640.1662781287.

The spelling of 4412285801 in words is "four billion, four hundred twelve million, two hundred eighty-five thousand, eight hundred one".

Divisors: 1 7 11 49 77 79 113 131 343 539 553 791 869 917 1243 1441 3773 3871 5537 6083 6419 8701 8927 10087 10349 14803 27097 38759 42581 44933 60907 62489 70609 72443 98197 103621 113839 162833 298067 426349 437423 494263 507101 687379 725347 796873 1139831 1169437 3061961 3549707 4811653 5077429 5578111 7978817 8186059 12863807 33681571 39046777 55851719 57302413 90046649 401116891 630326543 4412285801