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245187232444 = 227112679671117
BaseRepresentation
bin1110010001011001001…
…1000100001010111100
3212102212112000221012001
43210112103010022330
513004120412414234
6304345405152044
723466653042320
oct3442623041274
9772775027161
10245187232444
1194a8a889800
123b62885b624
131a175c6713b
14bc1d56b980
1565a0548d14
hex39164c42bc

245187232444 has 144 divisors (see below), whose sum is σ = 548107495936. Its totient is φ = 93920238720.

The previous prime is 245187232429. The next prime is 245187232457. The reversal of 245187232444 is 444232781542.

It is a junction number, because it is equal to n+sod(n) for n = 245187232394 and 245187232403.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 219504574 + ... + 219505690.

Almost surely, 2245187232444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245187232444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274053747968).

245187232444 is an abundant number, since it is smaller than the sum of its proper divisors (302920263492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245187232444 is a wasteful number, since it uses less digits than its factorization.

245187232444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2171 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 46.

The spelling of 245187232444 in words is "two hundred forty-five billion, one hundred eighty-seven million, two hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 67 77 121 134 154 242 268 308 469 484 737 847 938 967 1117 1474 1694 1876 1934 2234 2948 3388 3868 4468 5159 6769 7819 8107 10318 10637 12287 13538 15638 16214 20636 21274 24574 27076 31276 32428 42548 49148 56749 64789 74459 74839 86009 113498 117007 129578 135157 148918 149678 172018 226996 234014 259156 270314 297836 299356 344036 453523 468028 523873 540628 712679 819049 823229 907046 946099 1047746 1080139 1425358 1638098 1646458 1814092 1892198 2095492 2160278 2850716 3276196 3292916 3784396 4320556 4988753 5762603 7560973 7839469 9055519 9977506 11525206 11881529 15121946 15678938 18111038 19955012 23050412 23763058 30243892 31357876 36222076 47526116 54876283 63388633 72369313 83170703 109752566 126777266 130696819 144738626 166341406 219505132 253554532 261393638 289477252 332682812 506585191 522787276 796062443 914877733 1013170382 1592124886 1829755466 2026340764 3184249772 3659510932 5572437101 8756686873 11144874202 17513373746 22289748404 35026747492 61296808111 122593616222 245187232444