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78461072953 is a prime number
BaseRepresentation
bin100100100010010100…
…1001111011000111001
321111112002100110221221
41021010221033120321
52241142013313303
6100013341032041
75445224054554
oct1110451173071
9244462313857
1078461072953
113030325944a
1213258555621
1375253634b3
143b2462169b
1520933354bd
hex1244a4f639

78461072953 has 2 divisors, whose sum is σ = 78461072954. Its totient is φ = 78461072952.

The previous prime is 78461072951. The next prime is 78461072993. The reversal of 78461072953 is 35927016487.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62616053824 + 15845019129 = 250232^2 + 125877^2 .

It is a cyclic number.

It is not a de Polignac number, because 78461072953 - 21 = 78461072951 is a prime.

It is a super-2 number, since 2×784610729532 (a number of 23 digits) contains 22 as substring.

Together with 78461072951, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 78461072953.

It is not a weakly prime, because it can be changed into another prime (78461072951) 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, 39230536476 + 39230536477.

It is an arithmetic number, because the mean of its divisors is an integer number (39230536477).

It is a 1-persistent number, because it is pandigital, but 2⋅78461072953 = 156922145906 is not.

Almost surely, 278461072953 is an apocalyptic number.

It is an amenable number.

78461072953 is a deficient number, since it is larger than the sum of its proper divisors (1).

78461072953 is an equidigital number, since it uses as much as digits as its factorization.

78461072953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 78461072953 in words is "seventy-eight billion, four hundred sixty-one million, seventy-two thousand, nine hundred fifty-three".