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79247793907129 = 137218123592
BaseRepresentation
bin10010000001001101010000…
…100110101110010110111001
3101101121000102000101022202211
4102001031100212232112321
540341343440220012004
6440313533421255121
722456315131614401
oct2201152046562671
9341530360338684
1079247793907129
1123283889747251
128a7a905a044a1
13352b05b89c883
14157d883d77801
1592663c4b9504
hex4813509ae5b9

79247793907129 has 27 divisors (see below), whose sum is σ = 80498183474541. Its totient is φ = 78016781632320.

The previous prime is 79247793907103. The next prime is 79247793907201. The reversal of 79247793907129 is 92170939774297.

The square root of 79247793907129 is 8902123.

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 24704428826025 + 54543365081104 = 4970355^2 + 7385348^2 .

It is not a de Polignac number, because 79247793907129 - 213 = 79247793898937 is a prime.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (79247793907229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 220745943852 + ... + 220745944210.

Almost surely, 279247793907129 is an apocalyptic number.

79247793907129 is the 8902123-rd square number.

79247793907129 is the 4451062-nd centered octagonal number.

It is an amenable number.

79247793907129 is a deficient number, since it is larger than the sum of its proper divisors (1250389567412).

79247793907129 is an frugal number, since it uses more digits than its factorization.

79247793907129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 756142128, while the sum is 76.

The spelling of 79247793907129 in words is "seventy-nine trillion, two hundred forty-seven billion, seven hundred ninety-three million, nine hundred seven thousand, one hundred twenty-nine".

Divisors: 1 137 181 359 18769 24797 32761 49183 64979 128881 3397189 4488257 6738071 8902123 11761199 17656697 23327461 614891209 1219590851 1611284263 2418967489 3195862157 4222270441 220745944031 437833115509 578451050417 79247793907129