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18057358745088 = 293131123805267
BaseRepresentation
bin1000001101100010011100…
…11101000001111000000000
32100221021012101012210211220
410012301032131001320000
54331322432314320323
6102223234110035040
73542413116554565
oct406611635017000
970837171183756
1018057358745088
1158320a0291413
122037778aa8a80
13a0ca56220b20
14465da356086c
15214aa77cc0e3
hex106c4e741e00

18057358745088 has 160 divisors (see below), whose sum is σ = 51852585138816. Its totient is φ = 5551155929088.

The previous prime is 18057358745017. The next prime is 18057358745089. The reversal of 18057358745088 is 88054785375081.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18057358745089) 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 15 ways as a sum of consecutive naturals, for example, 22021431 + ... + 22826697.

Almost surely, 218057358745088 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 18057358745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25926292569408).

18057358745088 is an abundant number, since it is smaller than the sum of its proper divisors (33795226393728).

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

18057358745088 is a wasteful number, since it uses less digits than its factorization.

18057358745088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806424 (or 806408 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 69.

The spelling of 18057358745088 in words is "eighteen trillion, fifty-seven billion, three hundred fifty-eight million, seven hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1123 1248 1536 1664 2246 2496 3328 3369 4492 4992 6656 6738 8984 9984 13476 14599 17968 19968 26952 29198 35936 43797 53904 58396 71872 87594 107808 116792 143744 175188 215616 233584 287488 350376 431232 467168 574976 700752 805267 862464 934336 1401504 1610534 1724928 1868672 2415801 2803008 3221068 3737344 4831602 5606016 6442136 7474688 9663204 10468471 11212032 12884272 19326408 20936942 22424064 25768544 31405413 38652816 41873884 51537088 62810826 77305632 83747768 103074176 125621652 154611264 167495536 206148352 251243304 309222528 334991072 412296704 502486608 618445056 669982144 904314841 1004973216 1236890112 1339964288 1808629682 2009946432 2679928576 2712944523 3617259364 4019892864 5359857152 5425889046 7234518728 8039785728 10851778092 11756092933 14469037456 16079571456 21703556184 23512185866 28938074912 35268278799 43407112368 47024371732 57876149824 70536557598 86814224736 94048743464 115752299648 141073115196 173628449472 188097486928 231504599296 282146230392 347256898944 376194973856 463009198592 564292460784 694513797888 752389947712 1128584921568 1389027595776 1504779895424 2257169843136 3009559790848 4514339686272 6019119581696 9028679372544 18057358745088