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42100402660 = 2255359366977
BaseRepresentation
bin100111001101011000…
…010010100111100100
311000200001100001021121
4213031120102213210
51142210200341120
631201325423324
73020200342501
oct471530224744
9130601301247
1042100402660
1116944641708
1281ab40ab44
133c7c281784
1420755204a8
1511660cd5aa
hex9cd6129e4

42100402660 has 48 divisors (see below), whose sum is σ = 90232225776. Its totient is φ = 16494313472.

The previous prime is 42100402651. The next prime is 42100402697. The reversal of 42100402660 is 6620400124.

It can be written as a sum of positive squares in 8 ways, for example, as 1959478756 + 40140923904 = 44266^2 + 200352^2 .

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, 595092 + ... + 662068.

It is an arithmetic number, because the mean of its divisors is an integer number (1879838037).

Almost surely, 242100402660 is an apocalyptic number.

It is an amenable number.

42100402660 is an abundant number, since it is smaller than the sum of its proper divisors (48131823116).

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

42100402660 is a wasteful number, since it uses less digits than its factorization.

42100402660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67632 (or 67630 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 42100402660 its reverse (6620400124), we get a palindrome (48720802784).

The spelling of 42100402660 in words is "forty-two billion, one hundred million, four hundred two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 593 1060 1186 2372 2965 5930 11860 31429 62858 66977 125716 133954 157145 267908 314290 334885 628580 669770 1339540 3549781 7099562 14199124 17748905 35497810 39717361 70995620 79434722 158869444 198586805 397173610 794347220 2105020133 4210040266 8420080532 10525100665 21050201330 42100402660