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20353527440 = 2451714965829
BaseRepresentation
bin10010111101001010…
…100010111010010000
31221112110202022201122
4102331022202322100
5313141000334230
613203354421412
71320244062101
oct227512427220
957473668648
1020353527440
1186a5043464
123b40431868
131bc49c757c
14db12303a8
157e1ceebe5
hex4bd2a2e90

20353527440 has 40 divisors (see below), whose sum is σ = 50105598840. Its totient is φ = 7662503936.

The previous prime is 20353527413. The next prime is 20353527443. The reversal of 20353527440 is 4472535302.

It can be written as a sum of positive squares in 4 ways, for example, as 878766736 + 19474760704 = 29644^2 + 139552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 20353527440.

It is not an unprimeable number, because it can be changed into a prime (20353527443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7481555 + ... + 7484274.

It is an arithmetic number, because the mean of its divisors is an integer number (1252639971).

Almost surely, 220353527440 is an apocalyptic number.

20353527440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20353527440 is an abundant number, since it is smaller than the sum of its proper divisors (29752071400).

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

20353527440 is a wasteful number, since it uses less digits than its factorization.

20353527440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14965859 (or 14965853 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The spelling of 20353527440 in words is "twenty billion, three hundred fifty-three million, five hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 14965829 29931658 59863316 74829145 119726632 149658290 239453264 254419093 299316580 508838186 598633160 1017676372 1197266320 1272095465 2035352744 2544190930 4070705488 5088381860 10176763720 20353527440