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37114407801 = 32642172
BaseRepresentation
bin100010100100001100…
…001110101101111001
310112210120022021011100
4202210030032231321
51102002242022201
625014454322013
72452505155362
oct424414165571
9115716267140
1037114407801
111481612a9a9
127239659309
1336662b7763
141b21266b69
15e734e1886
hex8a430eb79

37114407801 has 9 divisors (see below), whose sum is σ = 53610534991. Its totient is φ = 24742553232.

The previous prime is 37114407793. The next prime is 37114407829. The reversal of 37114407801 is 10870441173.

The square root of 37114407801 is 192651.

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., 10079156025 + 27035251776 = 100395^2 + 164424^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 37114407801 - 23 = 37114407793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37114407601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 545845 + ... + 610061.

Almost surely, 237114407801 is an apocalyptic number.

37114407801 is the 192651-st square number.

37114407801 is the 96326-th centered octagonal number.

It is an amenable number.

37114407801 is a deficient number, since it is larger than the sum of its proper divisors (16496127190).

37114407801 is an frugal number, since it uses more digits than its factorization.

37114407801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128440 (or 64220 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Multiplying 37114407801 by its sum of digits (36), we get a square (1336118680836 = 11559062).

Adding to 37114407801 its reverse (10870441173), we get a palindrome (47984848974).

The spelling of 37114407801 in words is "thirty-seven billion, one hundred fourteen million, four hundred seven thousand, eight hundred one".

Divisors: 1 3 9 64217 192651 577953 4123823089 12371469267 37114407801