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86570704441 = 13417412
BaseRepresentation
bin101000010100000000…
…1000001111000111001
322021110021001102222201
41100220001001320321
52404244100020231
6103434154350201
76153205563214
oct1205001017071
9267407042881
1086570704441
11337949a6631
121494042b361
138218510000
1442936a677b
1523ba289161
hex1428041e39

86570704441 has 15 divisors (see below), whose sum is σ = 93838576443. Its totient is φ = 79865519760.

The previous prime is 86570704427. The next prime is 86570704457. The reversal of 86570704441 is 14440707568.

The square root of 86570704441 is 294229.

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

It can be written as a sum of positive squares in 7 ways, for example, as 46578704041 + 39992000400 = 215821^2 + 199980^2 .

It is a de Polignac number, because none of the positive numbers 2k-86570704441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86570704391 and 86570704400.

It is not an unprimeable number, because it can be changed into a prime (86576704441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49723831 + ... + 49725571.

Almost surely, 286570704441 is an apocalyptic number.

86570704441 is the 294229-th square number.

86570704441 is the 147115-th centered octagonal number.

It is an amenable number.

86570704441 is a deficient number, since it is larger than the sum of its proper divisors (7267872002).

86570704441 is an frugal number, since it uses more digits than its factorization.

86570704441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 86570704441 in words is "eighty-six billion, five hundred seventy million, seven hundred four thousand, four hundred forty-one".

Divisors: 1 13 169 1741 2197 22633 28561 294229 3031081 3824977 39404053 49724701 512252689 6659284957 86570704441