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58131138315426 = 231121313831595887
BaseRepresentation
bin11010011011110101101011…
…10110011000010010100010
321121211021121222102022211120
431031322311312120102202
530104410032402043201
6323345024250353110
715146556540631521
oct1515726566302242
9247737558368746
1058131138315426
1117582306115700
12662a25472b796
132658986c96487
14104d7c25c64b8
156ac1ce83c536
hex34deb5d984a2

58131138315426 has 96 divisors (see below), whose sum is σ = 129104224026624. Its totient is φ = 17435373727200.

The previous prime is 58131138315413. The next prime is 58131138315443. The reversal of 58131138315426 is 62451383113185.

It is a super-2 number, since 2×581311383154262 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35627655 + ... + 37223541.

It is an arithmetic number, because the mean of its divisors is an integer number (1344835666944).

Almost surely, 258131138315426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58131138315426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64552112013312).

58131138315426 is an abundant number, since it is smaller than the sum of its proper divisors (70973085711198).

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

58131138315426 is a wasteful number, since it uses less digits than its factorization.

58131138315426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596428 (or 1596417 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The spelling of 58131138315426 in words is "fifty-eight trillion, one hundred thirty-one billion, one hundred thirty-eight million, three hundred fifteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 121 131 242 262 363 383 393 726 766 786 1149 1441 2298 2882 4213 4323 8426 8646 12639 15851 25278 31702 46343 47553 50173 92686 95106 100346 139029 150519 278058 301038 551903 1103806 1595887 1655709 3191774 3311418 4787661 6070933 9575322 12141866 17554757 18212799 35109514 36425598 52664271 105328542 193102327 209061197 386204654 418122394 579306981 611224721 627183591 1158613962 1222449442 1254367182 1833674163 2299673167 3667348326 4599346334 6723471931 6899019501 13446943862 13798039002 20170415793 25296404837 40340831586 50592809674 73958191241 75889214511 80070438451 147916382482 151778429022 160140876902 221874573723 240211315353 443749147446 480422630706 880774822961 1761549645922 2642324468883 5284648937766 9688523052571 19377046105142 29065569157713 58131138315426