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541132642236 = 2232943233155203
BaseRepresentation
bin1111101111111100000…
…01001101011110111100
31220201202110112102210110
413313332001031132330
532331214424022421
61052332022310020
754044525365164
oct7677601153674
91821673472713
10541132642236
111995472a63aa
1288a60288310
133c04aa6c834
141c295dc95a4
15e121c9ca76
hex7dfe04d7bc

541132642236 has 96 divisors (see below), whose sum is σ = 1342303522560. Its totient is φ = 169376288256.

The previous prime is 541132642213. The next prime is 541132642247. The reversal of 541132642236 is 632246231145.

It is a junction number, because it is equal to n+sod(n) for n = 541132642194 and 541132642203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3409011 + ... + 3564213.

It is an arithmetic number, because the mean of its divisors is an integer number (13982328360).

Almost surely, 2541132642236 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 541132642236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671151761280).

541132642236 is an abundant number, since it is smaller than the sum of its proper divisors (801170880324).

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

541132642236 is a wasteful number, since it uses less digits than its factorization.

541132642236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155515 (or 155513 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The spelling of 541132642236 in words is "five hundred forty-one billion, one hundred thirty-two million, six hundred forty-two thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 233 258 348 466 516 699 932 1247 1398 2494 2796 3741 4988 6757 7482 10019 13514 14964 20038 20271 27028 30057 40076 40542 60114 81084 120228 155203 290551 310406 465609 581102 620812 871653 931218 1162204 1743306 1862436 3486612 4500887 6673729 9001774 13347458 13502661 18003548 20021187 26694916 27005322 36162299 40042374 54010644 72324598 80084748 108486897 144649196 193538141 216973794 387076282 433947588 580614423 774152564 1048706671 1161228846 1554978857 2097413342 2322457692 3109957714 3146120013 4194826684 4664936571 6219915428 6292240026 9329873142 12584480052 18659746284 45094386853 90188773706 135283160559 180377547412 270566321118 541132642236