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5738589449142 = 23112931373925867
BaseRepresentation
bin101001110000001111010…
…0101011110101110110110
3202022121022011110122122020
41103200132211132232312
51223010112344333032
620112134355414010
71131412411331244
oct123403645365666
922277264418566
105738589449142
1119127a4159490
12788215bb4306
133281ba2ac784
1415ba6bb9b794
159e419534b2c
hex5381e95ebb6

5738589449142 has 128 divisors (see below), whose sum is σ = 13374211276800. Its totient is φ = 1624343414400.

The previous prime is 5738589449123. The next prime is 5738589449147. The reversal of 5738589449142 is 2419449858375.

It is a super-3 number, since 3×57385894491423 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738589449147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221836893 + ... + 221862759.

It is an arithmetic number, because the mean of its divisors is an integer number (104486025600).

Almost surely, 25738589449142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5738589449142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687105638400).

5738589449142 is an abundant number, since it is smaller than the sum of its proper divisors (7635621827658).

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

5738589449142 is a wasteful number, since it uses less digits than its factorization.

5738589449142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29682.

The product of its digits is 348364800, while the sum is 69.

The spelling of 5738589449142 in words is "five trillion, seven hundred thirty-eight billion, five hundred eighty-nine million, four hundred forty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 319 341 638 682 899 957 1023 1798 1914 2046 2697 3739 5394 7478 9889 11217 19778 22434 25867 29667 41129 51734 59334 77601 82258 108431 115909 123387 155202 216862 231818 246774 284537 325293 347727 569074 650586 695454 750143 801877 853611 1192741 1274999 1500286 1603754 1707222 2250429 2385482 2405631 2549998 3361361 3578223 3824997 4500858 4811262 6722722 7156446 7649994 8251573 8820647 10084083 16503146 17641294 20168166 23254433 24754719 26461941 36974971 46508866 49509438 52923882 69763299 73949942 96716713 110924913 139526598 193433426 221849826 255798763 290150139 511597526 580300278 767396289 1063883843 1534792578 2127767686 2804784677 2998218103 3191651529 5609569354 5996436206 6383303058 8414354031 8994654309 16828708062 17989308618 30852631447 32980399133 61705262894 65960798266 86948324987 92557894341 98941197399 173896649974 185115788682 197882394798 260844974961 521689949922 956431574857 1912863149714 2869294724571 5738589449142