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2197936711936 = 2874312612
BaseRepresentation
bin11111111110111111001…
…111001010100100000000
321210010020222200122100001
4133332333033022210000
5242002333244240221
64401415043405344
7314536630540000
oct37767717124400
97703228618301
102197936711936
11778159a79139
122b5b84683854
1312c35927a724
1478548920000
153c29023c391
hex1ffbf3ca900

2197936711936 has 405 divisors, whose sum is σ = 5376746966409. Its totient is φ = 896642611200.

The previous prime is 2197936711921. The next prime is 2197936711937. The reversal of 2197936711936 is 6391176397912.

The square root of 2197936711936 is 1482544.

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., 71472814336 + 2126463897600 = 267344^2 + 1458240^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (2197936711937) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36031749346 + ... + 36031749406.

Almost surely, 22197936711936 is an apocalyptic number.

2197936711936 is the 1482544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2197936711936

2197936711936 is an abundant number, since it is smaller than the sum of its proper divisors (3178810254473).

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

2197936711936 is an frugal number, since it uses more digits than its factorization.

2197936711936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 101 counting only the distinct ones).

The product of its digits is 23147208, while the sum is 64.

Multiplying 2197936711936 by its sum of digits (64), we get a square (140667949563904 = 118603522).

2197936711936 divided by its sum of digits (64) gives a square (34342761124 = 1853182).

The spelling of 2197936711936 in words is "two trillion, one hundred ninety-seven billion, nine hundred thirty-six million, seven hundred eleven thousand, nine hundred thirty-six".