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7149842818561 = 1132236632
BaseRepresentation
bin110100000001011001111…
…0101110110011000000001
3221022111222211122211212001
41220002303311312120001
51414120334230143221
623112331545104001
71335362525131432
oct150026365663001
927274884584761
107149842818561
11230725a969783
1297582ba88001
133cb2c5463201
141aa0a8b8d489
15c5eb55d1391
hex680b3d76601

7149842818561 has 9 divisors (see below), whose sum is σ = 7213980564739. Its totient is φ = 7086270394336.

The previous prime is 7149842818529. The next prime is 7149842818579. The reversal of 7149842818561 is 1658182489417.

The square root of 7149842818561 is 2673919.

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., 125985953025 + 7023856865536 = 354945^2 + 2650256^2 .

It is not a de Polignac number, because 7149842818561 - 25 = 7149842818529 is a prime.

It is a super-2 number, since 2×71498428185612 (a number of 27 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 = 7149842818493 and 7149842818502.

It is not an unprimeable number, because it can be changed into a prime (7149842815561) 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, 302141016 + ... + 302164678.

Almost surely, 27149842818561 is an apocalyptic number.

7149842818561 is the 2673919-th square number.

7149842818561 is the 1336960-th centered octagonal number.

It is an amenable number.

7149842818561 is a deficient number, since it is larger than the sum of its proper divisors (64137746178).

7149842818561 is an frugal number, since it uses more digits than its factorization.

7149842818561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47552 (or 23776 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 64.

Multiplying 7149842818561 by its sum of digits (64), we get a square (457589940387904 = 213913522).

The spelling of 7149842818561 in words is "seven trillion, one hundred forty-nine billion, eight hundred forty-two million, eight hundred eighteen thousand, five hundred sixty-one".

Divisors: 1 113 12769 23663 2673919 302152847 559937569 63272945297 7149842818561