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7126363040 = 255535211613
BaseRepresentation
bin1101010001100001…
…11010101110100000
3200101122111202021212
412220300322232200
5104043322104130
63135050405252
7341412041426
oct65060725640
920348452255
107126363040
113027712035
12146a730828
1389754a184
144b8651116
152ba979e95
hex1a8c3aba0

7126363040 has 96 divisors (see below), whose sum is σ = 17197273296. Its totient is φ = 2789662720.

The previous prime is 7126362989. The next prime is 7126363103. The reversal of 7126363040 is 403636217.

It can be written as a sum of positive squares in 8 ways, for example, as 3537394576 + 3588968464 = 59476^2 + 59908^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7126362988 and 7126363006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4417274 + ... + 4418886.

Almost surely, 27126363040 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 7126363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598636648).

7126363040 is an abundant number, since it is smaller than the sum of its proper divisors (10070910256).

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

7126363040 is a wasteful number, since it uses less digits than its factorization.

7126363040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 7126363040 is about 84417.7886467064. The cubic root of 7126363040 is about 1924.3732633346.

Adding to 7126363040 its reverse (403636217), we get a palindrome (7529999257).

The spelling of 7126363040 in words is "seven billion, one hundred twenty-six million, three hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 521 530 848 1042 1060 1613 1696 2084 2120 2605 3226 4168 4240 5210 6452 8065 8336 8480 10420 12904 16130 16672 20840 25808 27613 32260 41680 51616 55226 64520 83360 85489 110452 129040 138065 170978 220904 258080 276130 341956 427445 441808 552260 683912 840373 854890 883616 1104520 1367824 1680746 1709780 2209040 2735648 3361492 3419560 4201865 4418080 6722984 6839120 8403730 13445968 13678240 16807460 26891936 33614920 44539769 67229840 89079538 134459680 178159076 222698845 356318152 445397690 712636304 890795380 1425272608 1781590760 3563181520 7126363040