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41288805828 = 223217184736527
BaseRepresentation
bin100110011101000000…
…010010110111000100
310221120111011122201200
4212131000102313010
51134024413241303
630545014222500
72661114026124
oct463500226704
9127514148650
1041288805828
11165684aaa26
128003654a30
133b8009b26a
141dd9816c84
151119c153a3
hex99d012dc4

41288805828 has 72 divisors (see below), whose sum is σ = 110571132672. Its totient is φ = 12945983232.

The previous prime is 41288805823. The next prime is 41288805847. The reversal of 41288805828 is 82850888214.

41288805828 is a `hidden beast` number, since 412 + 88 + 80 + 58 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (41288805823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1112101 + ... + 1148627.

It is an arithmetic number, because the mean of its divisors is an integer number (1535710176).

Almost surely, 241288805828 is an apocalyptic number.

It is an amenable number.

41288805828 is an abundant number, since it is smaller than the sum of its proper divisors (69282326844).

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

41288805828 is a wasteful number, since it uses less digits than its factorization.

41288805828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38401 (or 38396 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 54.

The spelling of 41288805828 in words is "forty-one billion, two hundred eighty-eight million, eight hundred five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1847 3694 5541 7388 11082 16623 22164 31399 33246 36527 62798 66492 73054 94197 109581 125596 146108 188394 219162 282591 328743 376788 438324 565182 620959 657486 1130364 1241918 1314972 1862877 2483836 3725754 5588631 7451508 11177262 22354524 67465369 134930738 202396107 269861476 404792214 607188321 809584428 1146911273 1214376642 2293822546 2428753284 3440733819 4587645092 6881467638 10322201457 13762935276 20644402914 41288805828