Search a number
-
+
72416111939309 is a prime number
BaseRepresentation
bin10000011101110010110000…
…101000001100111011101101
3100111101220122100111022102102
4100131302300220030323231
533442431144124024214
6414003300315304445
721152614522202105
oct2035626050147355
9314356570438372
1072416111939309
112108a55633a826
12815688944b125
133153a6b8c65b8
1413c4d5c268205
15858a98b24bde
hex41dcb0a0ceed

72416111939309 has 2 divisors, whose sum is σ = 72416111939310. Its totient is φ = 72416111939308.

The previous prime is 72416111939209. The next prime is 72416111939341. The reversal of 72416111939309 is 90393911161427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69793827232900 + 2622284706409 = 8354270^2 + 1619347^2 .

It is an emirp because it is prime and its reverse (90393911161427) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72416111939309 - 232 = 72411816972013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72416111939359) 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, 36208055969654 + 36208055969655.

It is an arithmetic number, because the mean of its divisors is an integer number (36208055969655).

Almost surely, 272416111939309 is an apocalyptic number.

It is an amenable number.

72416111939309 is a deficient number, since it is larger than the sum of its proper divisors (1).

72416111939309 is an equidigital number, since it uses as much as digits as its factorization.

72416111939309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2204496, while the sum is 56.

The spelling of 72416111939309 in words is "seventy-two trillion, four hundred sixteen billion, one hundred eleven million, nine hundred thirty-nine thousand, three hundred nine".