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1642232065331 = 11133479711489
BaseRepresentation
bin10111111001011100101…
…010001010110100110011
312210222212222100200111002
4113321130222022310303
5203401242402042311
63254233032312215
7226435020143654
oct27713452126463
95728788320432
101642232065331
11583515208220
1222633824266b
13bbb28556000
14596ad4c152b
152cab901d93b
hex17e5ca8ad33

1642232065331 has 64 divisors (see below), whose sum is σ = 1985418086400. Its totient is φ = 1346481676800.

The previous prime is 1642232065291. The next prime is 1642232065339. The reversal of 1642232065331 is 1335602322461.

It is not a de Polignac number, because 1642232065331 - 210 = 1642232064307 is a prime.

It is a super-2 number, since 2×16422320653312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1642232065339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102908635 + ... + 1102910123.

It is an arithmetic number, because the mean of its divisors is an integer number (31022157600).

Almost surely, 21642232065331 is an apocalyptic number.

1642232065331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1642232065331 is a deficient number, since it is larger than the sum of its proper divisors (343186021069).

1642232065331 is a wasteful number, since it uses less digits than its factorization.

1642232065331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

Adding to 1642232065331 its reverse (1335602322461), we get a palindrome (2977834387792).

The spelling of 1642232065331 in words is "one trillion, six hundred forty-two billion, two hundred thirty-two million, sixty-five thousand, three hundred thirty-one".

Divisors: 1 11 13 47 143 169 517 611 971 1489 1859 2197 6721 7943 10681 12623 16379 19357 24167 45637 69983 87373 103259 138853 164099 212927 251641 502007 593281 769813 909779 1135849 1445819 1805089 2133287 2768051 3271333 6526091 7712653 10007569 11827127 15904009 18795647 23466157 35984663 67953493 84839183 100264489 130098397 153752651 206752117 244343411 747488423 883395409 1102909379 1691279161 2687777521 3176464343 9717349499 11484140317 34941107773 126325543487 149293824121 1642232065331