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4526337095361 = 36787972
BaseRepresentation
bin100000111011101111010…
…1101101111011011000001
3121000201021012210111000000
41001313132231233123001
51043124414244022421
613343212012350213
7645005565334164
oct101673655573301
917021235714000
104526337095361
11149567731a684
12611299175369
1326aaa74a53b3
1411910c325adb
157cb18d7c226
hex41ddeb6f6c1

4526337095361 has 21 divisors (see below), whose sum is σ = 6786487285651. Its totient is φ = 3017519768232.

The previous prime is 4526337095359. The next prime is 4526337095393. The reversal of 4526337095361 is 1635907336254.

The square root of 4526337095361 is 2127519.

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

4526337095361 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 33 + 70 + 9 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3711729762225 + 814607333136 = 1926585^2 + 902556^2 .

It is not a de Polignac number, because 4526337095361 - 21 = 4526337095359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4526337095298 and 4526337095307.

It is not an unprimeable number, because it can be changed into a prime (4526337095341) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 57403615 + ... + 57482411.

Almost surely, 24526337095361 is an apocalyptic number.

4526337095361 is the 2127519-th square number.

4526337095361 is the 1063760-th centered octagonal number.

It is an amenable number.

4526337095361 is a deficient number, since it is larger than the sum of its proper divisors (2260150190290).

4526337095361 is an frugal number, since it uses more digits than its factorization.

4526337095361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157612 (or 78800 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 4526337095361 in words is "four trillion, five hundred twenty-six billion, three hundred thirty-seven million, ninety-five thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 78797 236391 709173 2127519 6382557 19147671 57443013 6208967209 18626901627 55880704881 167642114643 502926343929 1508779031787 4526337095361