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40164379261 is a prime number
BaseRepresentation
bin100101011001111110…
…111100101001111101
310211200010100212110021
4211121332330221331
51124224040114021
630241250012141
72621211406426
oct453176745175
9124603325407
1040164379261
1116040821676
12794ab77051
133a311473b6
141d3035a64d
1510a1156c41
hex959fbca7d

40164379261 has 2 divisors, whose sum is σ = 40164379262. Its totient is φ = 40164379260.

The previous prime is 40164379223. The next prime is 40164379271. The reversal of 40164379261 is 16297346104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37905753636 + 2258625625 = 194694^2 + 47525^2 .

It is a cyclic number.

It is not a de Polignac number, because 40164379261 - 233 = 31574444669 is a prime.

It is a super-2 number, since 2×401643792612 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40164379271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20082189630 + 20082189631.

It is an arithmetic number, because the mean of its divisors is an integer number (20082189631).

Almost surely, 240164379261 is an apocalyptic number.

It is an amenable number.

40164379261 is a deficient number, since it is larger than the sum of its proper divisors (1).

40164379261 is an equidigital number, since it uses as much as digits as its factorization.

40164379261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 40164379261 in words is "forty billion, one hundred sixty-four million, three hundred seventy-nine thousand, two hundred sixty-one".