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2386496639241 = 321121342772
BaseRepresentation
bin100010101110100110010…
…010001101000100001001
322110010222001110102100100
4202232212102031010021
5303100021114423431
65024201425200013
7334263416506251
oct42564622150411
98403861412310
102386496639241
11840120156400
12326628a90009
13144079440000
14837154d8961
15421291954e6
hex22ba648d109

2386496639241 has 135 divisors (see below), whose sum is σ = 4119642631923. Its totient is φ = 1330283148480.

The previous prime is 2386496639227. The next prime is 2386496639287. The reversal of 2386496639241 is 1429366946832.

The square root of 2386496639241 is 1544829.

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

2386496639241 is a `hidden beast` number, since 2 + 3 + 86 + 496 + 63 + 9 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2101122725625 + 285373913616 = 1449525^2 + 534204^2 .

It is not a de Polignac number, because 2386496639241 - 237 = 2249057685769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2386496639201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8615511195 + ... + 8615511471.

Almost surely, 22386496639241 is an apocalyptic number.

2386496639241 is the 1544829-th square number.

2386496639241 is the 772415-th centered octagonal number.

It is an amenable number.

2386496639241 is a deficient number, since it is larger than the sum of its proper divisors (1733145992682).

2386496639241 is an frugal number, since it uses more digits than its factorization.

2386496639241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 304 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 2386496639241 in words is "two trillion, three hundred eighty-six billion, four hundred ninety-six million, six hundred thirty-nine thousand, two hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 277 363 429 507 831 1089 1287 1521 1573 1859 2197 2493 3047 3601 4719 5577 6591 9141 10803 14157 16731 19773 20449 24167 27423 28561 32409 33517 39611 46813 61347 72501 76729 85683 100551 118833 140439 184041 217503 230187 257049 265837 301653 314171 356499 421317 435721 514943 608569 690561 797511 844019 942513 997477 1307163 1544829 1825707 2392533 2532057 2827539 2992431 3455881 3921489 4634487 5477121 5664373 6694259 7596171 7911397 8977293 9284209 10367643 10972247 12967201 16993119 20082777 23734191 27852627 31102929 32916741 38901603 50979357 60248331 71202573 73636849 83557881 87025367 98750223 116704809 120694717 142639211 168573613 220910547 261076101 362084151 427917633 505720839 662731641 783228303 957279037 1086252453 1283752899 1517162517 1569031321 1854309743 2191456969 2871837111 4707093963 5562929229 6574370907 8615511333 14121281889 16688787687 19723112721 20397407173 24106026659 61192221519 72318079977 183576664557 216954239931 265166293249 795498879747 2386496639241