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146697392801 is a prime number
BaseRepresentation
bin1000100010011111011…
…0001001001010100001
3112000122121000200111102
42020213312021022201
54400414013032201
6151220350124145
713412204156561
oct2104766111241
9460577020442
10146697392801
1157239943513
12245207b0655
1310aab29650b
147158cd6da1
153c38bb426b
hex2227d892a1

146697392801 has 2 divisors, whose sum is σ = 146697392802. Its totient is φ = 146697392800.

The previous prime is 146697392747. The next prime is 146697392833. The reversal of 146697392801 is 108293796641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 146608581025 + 88811776 = 382895^2 + 9424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146697392801 is a prime.

It is a super-4 number, since 4×1466973928014 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (146697392701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73348696400 + 73348696401.

It is an arithmetic number, because the mean of its divisors is an integer number (73348696401).

Almost surely, 2146697392801 is an apocalyptic number.

It is an amenable number.

146697392801 is a deficient number, since it is larger than the sum of its proper divisors (1).

146697392801 is an equidigital number, since it uses as much as digits as its factorization.

146697392801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 146697392801 in words is "one hundred forty-six billion, six hundred ninety-seven million, three hundred ninety-two thousand, eight hundred one".