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45617347050 = 23521141965983
BaseRepresentation
bin101010011111000000…
…010111100111101010
311100202011002100000020
4222133000113213222
51221411020101200
632542322021310
73203304023622
oct523700274752
9140664070006
1045617347050
1118389892020
128a111a7836
1343bcaa1762
1422ca64d882
1512bec35ea0
hexa9f0179ea

45617347050 has 96 divisors (see below), whose sum is σ = 123712081920. Its totient is φ = 11032190400.

The previous prime is 45617347003. The next prime is 45617347121. The reversal of 45617347050 is 5074371654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45617346993 and 45617347011.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 658359 + ... + 724341.

It is an arithmetic number, because the mean of its divisors is an integer number (1288667520).

Almost surely, 245617347050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45617347050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61856040960).

45617347050 is an abundant number, since it is smaller than the sum of its proper divisors (78094734870).

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

45617347050 is a wasteful number, since it uses less digits than its factorization.

45617347050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66428 (or 66423 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 45617347050 in words is "forty-five billion, six hundred seventeen million, three hundred forty-seven thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 419 550 825 838 1257 1650 2095 2514 4190 4609 6285 9218 10475 12570 13827 20950 23045 27654 31425 46090 62850 65983 69135 115225 131966 138270 197949 230450 329915 345675 395898 659830 691350 725813 989745 1451626 1649575 1979490 2177439 3299150 3629065 4354878 4948725 7258130 9897450 10887195 18145325 21774390 27646877 36290650 54435975 55293754 82940631 108871950 138234385 165881262 276468770 304115647 414703155 608231294 691171925 829406310 912346941 1382343850 1520578235 1824693882 2073515775 3041156470 4147031550 4561734705 7602891175 9123469410 15205782350 22808673525 45617347050