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97741893769 = 132240492
BaseRepresentation
bin101101100000111011…
…1101111000010001001
3100100021210121122211121
41123001313233002021
53100133411100034
6112522455555241
710030064250262
oct1330167570211
9310253548747
1097741893769
11384a7829503
1216b3968bb21
1392a8a45100
144a331b9969
152820d911b4
hex16c1def089

97741893769 has 9 divisors (see below), whose sum is σ = 105843256533. Its totient is φ = 90219534912.

The previous prime is 97741893757. The next prime is 97741893787. The reversal of 97741893769 is 96739814779.

The square root of 97741893769 is 312637.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14804805625 + 82937088144 = 121675^2 + 287988^2 .

It is not a de Polignac number, because 97741893769 - 223 = 97733505161 is a prime.

It is a super-2 number, since 2×977418937692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97741893698 and 97741893707.

It is not an unprimeable number, because it can be changed into a prime (97741890769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4052257 + ... + 4076305.

It is an arithmetic number, because the mean of its divisors is an integer number (11760361837).

Almost surely, 297741893769 is an apocalyptic number.

97741893769 is the 312637-th square number.

97741893769 is the 156319-th centered octagonal number.

It is an amenable number.

97741893769 is a deficient number, since it is larger than the sum of its proper divisors (8101362764).

97741893769 is an frugal number, since it uses more digits than its factorization.

97741893769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48124 (or 24062 counting only the distinct ones).

The product of its digits is 144027072, while the sum is 70.

The spelling of 97741893769 in words is "ninety-seven billion, seven hundred forty-one million, eight hundred ninety-three thousand, seven hundred sixty-nine".

Divisors: 1 13 169 24049 312637 4064281 578354401 7518607213 97741893769