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401915837681 is a prime number
BaseRepresentation
bin1011101100101000000…
…11001111110011110001
31102102102012120000012222
411312110003033303301
523041110423301211
6504345415130425
741015564152421
oct5662403176361
91372365500188
10401915837681
111454a7015626
1265a88973a15
132bb925288c7
141564a7d0481
15a6c4bd41db
hex5d940cfcf1

401915837681 has 2 divisors, whose sum is σ = 401915837682. Its totient is φ = 401915837680.

The previous prime is 401915837657. The next prime is 401915837689. The reversal of 401915837681 is 186738519104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 380318890000 + 21596947681 = 616700^2 + 146959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-401915837681 is a prime.

It is a super-2 number, since 2×4019158376812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401915837689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200957918840 + 200957918841.

It is an arithmetic number, because the mean of its divisors is an integer number (200957918841).

Almost surely, 2401915837681 is an apocalyptic number.

It is an amenable number.

401915837681 is a deficient number, since it is larger than the sum of its proper divisors (1).

401915837681 is an equidigital number, since it uses as much as digits as its factorization.

401915837681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 53.

The spelling of 401915837681 in words is "four hundred one billion, nine hundred fifteen million, eight hundred thirty-seven thousand, six hundred eighty-one".