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188748146801 is a prime number
BaseRepresentation
bin1010111111001001000…
…1000010100001110001
3200001012011221022121202
42233302101002201301
511043024011144201
6222413143500545
716431232530164
oct2576221024161
9601164838552
10188748146801
1173058454375
12306b7457755
1314a50183786
1491c79b1adb
154d9a736c6b
hex2bf2442871

188748146801 has 2 divisors, whose sum is σ = 188748146802. Its totient is φ = 188748146800.

The previous prime is 188748146687. The next prime is 188748146803. The reversal of 188748146801 is 108641847881.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105365809201 + 83382337600 = 324601^2 + 288760^2 .

Together with 5 it forms a Wieferich pair.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-188748146801 is a prime.

Together with 188748146803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (188748146803) 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 as a sum of consecutive naturals, namely, 94374073400 + 94374073401.

It is an arithmetic number, because the mean of its divisors is an integer number (94374073401).

Almost surely, 2188748146801 is an apocalyptic number.

It is an amenable number.

188748146801 is a deficient number, since it is larger than the sum of its proper divisors (1).

188748146801 is an equidigital number, since it uses as much as digits as its factorization.

188748146801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2752512, while the sum is 56.

The spelling of 188748146801 in words is "one hundred eighty-eight billion, seven hundred forty-eight million, one hundred forty-six thousand, eight hundred one".