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20050522683961 = 72112581532
BaseRepresentation
bin1001000111100011000000…
…10010000011101000111001
32121222210220101210202212211
410203301200102003220321
510112001432301341321
6110351025530335121
74136413433526400
oct443614022035071
977883811722784
1020050522683961
116430419380300
1222b9b1358a4a1
13b259aa41b7c3
144d464416a637
1524b8605750e1
hex123c60483a39

20050522683961 has 27 divisors (see below), whose sum is σ = 25637649917103. Its totient is φ = 15623515242720.

The previous prime is 20050522683959. The next prime is 20050522683977. The reversal of 20050522683961 is 16938622505002.

The square root of 20050522683961 is 4477781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17235751225 + 20033286932736 = 131285^2 + 4475856^2 .

It is not a de Polignac number, because 20050522683961 - 21 = 20050522683959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (20050522683911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 344760061 + ... + 344818213.

Almost surely, 220050522683961 is an apocalyptic number.

20050522683961 is the 4477781-st square number.

20050522683961 is the 2238891-st centered octagonal number.

It is an amenable number.

20050522683961 is a deficient number, since it is larger than the sum of its proper divisors (5587127233142).

20050522683961 is an frugal number, since it uses more digits than its factorization.

20050522683961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116342 (or 58171 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 20050522683961 by its sum of digits (49), we get a square (982475611514089 = 313444672).

20050522683961 divided by its sum of digits (49) gives a square (409194340489 = 6396832).

The spelling of 20050522683961 in words is "twenty trillion, fifty billion, five hundred twenty-two million, six hundred eighty-three thousand, nine hundred sixty-one".

Divisors: 1 7 11 49 77 121 539 847 5929 58153 407071 639683 2849497 4477781 7036513 31344467 49255591 344789137 3381771409 23672399863 37199485499 165706799041 260396398493 409194340489 1822774789451 2864360383423 20050522683961