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149656393628569 = 732103216272
BaseRepresentation
bin100010000001110010011000…
…001011100011101110011001
3201121220000022101110120121201
4202001302120023203232121
5124103432243232103234
61250143110443034201
743344213642610552
oct4201623013435631
9647800271416551
10149656393628569
1143759a1373a773
12149504b350b961
1365676ca786879
1428d559db7d329
151247d8d869314
hex881c982e3b99

149656393628569 has 27 divisors (see below), whose sum is σ = 153316250602623. Its totient is φ = 146083392927072.

The previous prime is 149656393628537. The next prime is 149656393628587. The reversal of 149656393628569 is 965826393656941.

The square root of 149656393628569 is 12233413.

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., 84952259472025 + 64704134156544 = 9216955^2 + 8043888^2 .

It is not a de Polignac number, because 149656393628569 - 25 = 149656393628537 is a prime.

It is a super-2 number, since 2×1496563936285692 (a number of 29 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 = 149656393628492 and 149656393628501.

It is not an unprimeable number, because it can be changed into a prime (149656393608569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 91983031534 + ... + 91983033160.

It is an arithmetic number, because the mean of its divisors is an integer number (5678379651949).

Almost surely, 2149656393628569 is an apocalyptic number.

149656393628569 is the 12233413-rd square number.

149656393628569 is the 6116707-th centered octagonal number.

It is an amenable number.

149656393628569 is a deficient number, since it is larger than the sum of its proper divisors (3659856974054).

149656393628569 is an frugal number, since it uses more digits than its factorization.

149656393628569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 1803 counting only the distinct ones).

The product of its digits is 13604889600, while the sum is 82.

The spelling of 149656393628569 in words is "one hundred forty-nine trillion, six hundred fifty-six billion, three hundred ninety-three million, six hundred twenty-eight thousand, five hundred sixty-nine".

Divisors: 1 73 103 1627 5329 7519 10609 118771 167581 548887 774457 2647129 8670283 12233413 17260843 56535361 193240417 272654287 893039149 1260041539 14106550441 19903762951 28083391561 91983032347 1452974695423 2050087583953 149656393628569