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79629502969 = 232122692
BaseRepresentation
bin100101000101001001…
…0011100100111111001
321121112111221212121201
41022022102130213321
52301040123043334
6100325320334201
75516202415222
oct1121222344771
9247474855551
1079629502969
1130852862195
1213523914361
1376804531c3
143bd5894249
152110bd6c14
hex128a49c9f9

79629502969 has 9 divisors (see below), whose sum is σ = 83248968943. Its totient is φ = 76161142552.

The previous prime is 79629502943. The next prime is 79629502993. The reversal of 79629502969 is 96920592697.

It is a happy number.

The square root of 79629502969 is 282187.

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

It can be written as a sum of positive squares in only one way, i.e., 75302494569 + 4327008400 = 274413^2 + 65780^2 .

It is not a de Polignac number, because 79629502969 - 227 = 79495285241 is a prime.

It is a super-2 number, since 2×796295029692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 79629502969.

It is not an unprimeable number, because it can be changed into a prime (79629512969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6484167 + ... + 6496435.

Almost surely, 279629502969 is an apocalyptic number.

79629502969 is the 282187-th square number.

79629502969 is the 141094-th centered octagonal number.

It is an amenable number.

79629502969 is a deficient number, since it is larger than the sum of its proper divisors (3619465974).

79629502969 is an frugal number, since it uses more digits than its factorization.

79629502969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24584 (or 12292 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 64.

Multiplying 79629502969 by its sum of digits (64), we get a square (5096288190016 = 22574962).

The spelling of 79629502969 in words is "seventy-nine billion, six hundred twenty-nine million, five hundred two thousand, nine hundred sixty-nine".

Divisors: 1 23 529 12269 282187 6490301 150528361 3462152303 79629502969