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9716929605601 = 432724932
BaseRepresentation
bin1000110101100110011000…
…1000110010111111100001
31021101221002112100022000221
42031121212020302333201
52233200232434334401
632355521300043041
72022011400604441
oct215314610627741
937357075308027
109716929605601
113106a21496009
12110b258093481
135563c1873b2a
142584325c4121
1511cb5dba37a1
hex8d666232fe1

9716929605601 has 9 divisors (see below), whose sum is σ = 9948297178899. Its totient is φ = 9490823576136.

The previous prime is 9716929605571. The next prime is 9716929605641. The reversal of 9716929605601 is 1065069296179.

The square root of 9716929605601 is 3117199.

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

9716929605601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6798039363025 + 2918890242576 = 2607305^2 + 1708476^2 .

It is not a de Polignac number, because 9716929605601 - 27 = 9716929605473 is a prime.

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 9716929605601.

It is not an unprimeable number, because it can be changed into a prime (9716929605641) 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, 134003311 + ... + 134075803.

It is an arithmetic number, because the mean of its divisors is an integer number (1105366353211).

Almost surely, 29716929605601 is an apocalyptic number.

9716929605601 is the 3117199-th square number.

9716929605601 is the 1558600-th centered octagonal number.

It is an amenable number.

9716929605601 is a deficient number, since it is larger than the sum of its proper divisors (231367573298).

9716929605601 is an frugal number, since it uses more digits than its factorization.

9716929605601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145072 (or 72536 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 61.

The spelling of 9716929605601 in words is "nine trillion, seven hundred sixteen billion, nine hundred twenty-nine million, six hundred five thousand, six hundred one".

Divisors: 1 43 1849 72493 3117199 134039557 5255235049 225975107107 9716929605601