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86044575738 = 231137477431009
BaseRepresentation
bin101000000100010101…
…0000000011111111010
322020002121001100002110
41100020222000133322
52402204402410423
6103310041513150
76134156553252
oct1201052003772
9266077040073
1086044575738
1133544a13320
12148141a27b6
13816350a054
14424386c962
152388eae193
hex1408a807fa

86044575738 has 128 divisors (see below), whose sum is σ = 197370224640. Its totient is φ = 24771640320.

The previous prime is 86044575703. The next prime is 86044575763. The reversal of 86044575738 is 83757544068.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85276578 + ... + 85277586.

It is an arithmetic number, because the mean of its divisors is an integer number (1541954880).

Almost surely, 286044575738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86044575738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98685112320).

86044575738 is an abundant number, since it is smaller than the sum of its proper divisors (111325648902).

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

86044575738 is a wasteful number, since it uses less digits than its factorization.

86044575738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852.

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 86044575738 in words is "eighty-six billion, forty-four million, five hundred seventy-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 141 222 282 407 517 743 814 1009 1034 1221 1486 1551 1739 2018 2229 2442 3027 3102 3478 4458 5217 6054 8173 10434 11099 16346 19129 22198 24519 27491 33297 34921 37333 38258 47423 49038 54982 57387 66594 69842 74666 82473 94846 104763 111999 114774 142269 164946 209526 223998 284538 302401 384131 410663 521653 604802 749687 768262 821326 907203 1043306 1152393 1231989 1292077 1499374 1564959 1754651 1814406 2249061 2304786 2463978 2584154 3129918 3509302 3876231 4498122 5263953 7752462 8246557 10527906 14212847 16493114 19301161 24739671 27738419 28425694 35235289 38602322 42638541 49479342 55476838 57903483 70470578 83215257 85277082 105705867 115806966 166430514 211411734 305122609 387588179 610245218 775176358 915367827 1162764537 1303705693 1830735654 2325529074 2607411386 3911117079 7822234158 14340762623 28681525246 43022287869 86044575738