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83538663039252 = 223219436146562161
BaseRepresentation
bin10010111111101001011100…
…010101011110000100010100
3101221210012220001122220110100
4102333221130111132010110
541422144140214224002
6453401044302254100
723411316642505131
oct2277513425360424
9357705801586410
1083538663039252
1124688603489a13
129452429287330
13377c87b8b60b5
14168b415899588
1599d07420611c
hex4bfa5c55e114

83538663039252 has 144 divisors (see below), whose sum is σ = 231179271843520. Its totient is φ = 25344714931200.

The previous prime is 83538663039203. The next prime is 83538663039257. The reversal of 83538663039252 is 25293036683538.

83538663039252 is a `hidden beast` number, since 8 + 3 + 538 + 6 + 6 + 3 + 0 + 3 + 92 + 5 + 2 = 666.

83538663039252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×835386630392523 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83538663039252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83538663039257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21486949 + ... + 25075212.

Almost surely, 283538663039252 is an apocalyptic number.

It is an amenable number.

83538663039252 is an abundant number, since it is smaller than the sum of its proper divisors (147640608804268).

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

83538663039252 is a wasteful number, since it uses less digits than its factorization.

83538663039252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46562294 (or 46562289 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 83538663039252 in words is "eighty-three trillion, five hundred thirty-eight billion, six hundred sixty-three million, thirty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 61 76 86 114 122 129 171 172 183 228 244 258 342 366 387 516 549 684 732 774 817 1098 1159 1548 1634 2196 2318 2451 2623 3268 3477 4636 4902 5246 6954 7353 7869 9804 10431 10492 13908 14706 15738 20862 23607 29412 31476 41724 47214 49837 94428 99674 149511 199348 299022 448533 598044 897066 1794132 46562161 93124322 139686483 186248644 279372966 419059449 558745932 838118898 884681059 1676237796 1769362118 2002172923 2654043177 2840291821 3538724236 4004345846 5308086354 5680583642 6006518769 7962129531 8008691692 8520875463 10616172708 11361167284 12013037538 15924259062 17041750926 18019556307 24026075076 25562626389 31848518124 34083501852 36039112614 38041285537 51125252778 53965544599 72078225228 76082571074 102250505556 107931089198 114123856611 122132548303 152165142148 161896633797 215862178396 228247713222 244265096606 323793267594 342371569833 366397644909 456495426444 485689901391 488530193212 647586535188 684743139666 732795289818 971379802782 1099192934727 1369486279332 1465590579636 1942759605564 2198385869454 2320518417757 4396771738908 4641036835514 6961555253271 9282073671028 13923110506542 20884665759813 27846221013084 41769331519626 83538663039252