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462190317090401 is a prime number
BaseRepresentation
bin110100100010111000001000…
…1101010110011011001100001
32020121110221222212200101201002
41221011300101222303121201
5441040011232133343101
64314555144522121345
7166232101631101034
oct15105602152633141
92217427885611632
10462190317090401
111242a48a37a2459
1243a076b6050255
1316ab848a895063
14821c1b893101b
15386796e00cd6b
hex1a45c11ab3661

462190317090401 has 2 divisors, whose sum is σ = 462190317090402. Its totient is φ = 462190317090400.

The previous prime is 462190317090277. The next prime is 462190317090427. The reversal of 462190317090401 is 104090713091264.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237649232847376 + 224541084243025 = 15415876^2 + 14984695^2 .

It is a cyclic number.

It is not a de Polignac number, because 462190317090401 - 218 = 462190316828257 is a prime.

It is a super-3 number, since 3×4621903170904013 (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (462190317090461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231095158545200 + 231095158545201.

It is an arithmetic number, because the mean of its divisors is an integer number (231095158545201).

Almost surely, 2462190317090401 is an apocalyptic number.

It is an amenable number.

462190317090401 is a deficient number, since it is larger than the sum of its proper divisors (1).

462190317090401 is an equidigital number, since it uses as much as digits as its factorization.

462190317090401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 462190317090401 in words is "four hundred sixty-two trillion, one hundred ninety billion, three hundred seventeen million, ninety thousand, four hundred one".