Search a number
-
+
72416247345773 is a prime number
BaseRepresentation
bin10000011101110010111000…
…101100101111001001101101
3100111101220222210021200011122
4100131302320230233021231
533442431433310031043
6414003321553430325
721152621055141122
oct2035627054571155
9314356883250148
1072416247345773
112108a6158146a1
12815690686b3a5
133153a90985b76
1413c4d72234749
15858aa5970368
hex41dcb8b2f26d

72416247345773 has 2 divisors, whose sum is σ = 72416247345774. Its totient is φ = 72416247345772.

The previous prime is 72416247345719. The next prime is 72416247345787. The reversal of 72416247345773 is 37754374261427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45680863772644 + 26735383573129 = 6758762^2 + 5170627^2 .

It is a cyclic number.

It is not a de Polignac number, because 72416247345773 - 212 = 72416247341677 is a prime.

It is a super-2 number, since 2×724162473457732 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72416247345703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36208123672886 + 36208123672887.

It is an arithmetic number, because the mean of its divisors is an integer number (36208123672887).

Almost surely, 272416247345773 is an apocalyptic number.

It is an amenable number.

72416247345773 is a deficient number, since it is larger than the sum of its proper divisors (1).

72416247345773 is an equidigital number, since it uses as much as digits as its factorization.

72416247345773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165957120, while the sum is 62.

The spelling of 72416247345773 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-seven million, three hundred forty-five thousand, seven hundred seventy-three".