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127150611627664 = 24571249372
BaseRepresentation
bin11100111010010010001111…
…000010011111111010010000
3121200012110221202002102121201
4130322102033002133322100
5113131213423034041124
61130232103512200544
735532220455153562
oct3472221702377220
9550173852072551
10127150611627664
11375722a94aa609
1212316782699154
1355c4335c419c1
14235819dd89332
15ea772c49c144
hex73a48f09fe90

127150611627664 has 45 divisors (see below), whose sum is σ = 246836506511721. Its totient is φ = 63451110760320.

The previous prime is 127150611627659. The next prime is 127150611627701. The reversal of 127150611627664 is 466726116051721.

The square root of 127150611627664 is 11276108.

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., 55270600736400 + 71880010891264 = 7434420^2 + 8478208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25754628204 + ... + 25754633140.

Almost surely, 2127150611627664 is an apocalyptic number.

127150611627664 is the 11276108-th square number.

It is an amenable number.

127150611627664 is a deficient number, since it is larger than the sum of its proper divisors (119685894884057).

127150611627664 is an frugal number, since it uses more digits than its factorization.

127150611627664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11024 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 127150611627664 in words is "one hundred twenty-seven trillion, one hundred fifty billion, six hundred eleven million, six hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 571 1142 2284 4568 4937 9136 9874 19748 39496 78992 326041 652082 1304164 2608328 2819027 5216656 5638054 11276108 22552216 24373969 45104432 48747938 97495876 194991752 389983504 1609664417 3219328834 6438657668 12877315336 13917536299 25754630672 27835072598 55670145196 111340290392 222680580784 7946913226729 15893826453458 31787652906916 63575305813832 127150611627664