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37046472401 is a prime number
BaseRepresentation
bin100010100000001001…
…000100111011010001
310112121211110210022102
4202200021010323101
51101332344104101
625004030250145
72451021551111
oct424011047321
9115554423272
1037046472401
111479084a044
12721a956955
1336551bc8b3
141b16221041
15e6c57286b
hex8a0244ed1

37046472401 has 2 divisors, whose sum is σ = 37046472402. Its totient is φ = 37046472400.

The previous prime is 37046472391. The next prime is 37046472503. The reversal of 37046472401 is 10427464073.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29671785025 + 7374687376 = 172255^2 + 85876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37046472401 is a prime.

It is a super-2 number, since 2×370464724012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (37046472101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18523236200 + 18523236201.

It is an arithmetic number, because the mean of its divisors is an integer number (18523236201).

Almost surely, 237046472401 is an apocalyptic number.

It is an amenable number.

37046472401 is a deficient number, since it is larger than the sum of its proper divisors (1).

37046472401 is an equidigital number, since it uses as much as digits as its factorization.

37046472401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 37046472401 in words is "thirty-seven billion, forty-six million, four hundred seventy-two thousand, four hundred one".