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9157885768044 = 2235133253222793
BaseRepresentation
bin1000010101000011110010…
…0001110011000101101100
31012102111002210201212100000
42011100330201303011230
52200020322224034134
631251024042304300
71633430642441016
oct205207441630554
935374083655300
109157885768044
112a10923852552
12103aa394b8090
1351577b0c7890
1423935b8c71b6
1510d33e73ee99
hex8543c87316c

9157885768044 has 144 divisors (see below), whose sum is σ = 25861189626272. Its totient is φ = 2816932142592.

The previous prime is 9157885767971. The next prime is 9157885768079. The reversal of 9157885768044 is 4408675887519.

It is a happy number.

9157885768044 is a `hidden beast` number, since 9 + 1 + 5 + 7 + 8 + 8 + 576 + 8 + 0 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40993512 + ... + 41216304.

Almost surely, 29157885768044 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 9157885768044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930594813136).

9157885768044 is an abundant number, since it is smaller than the sum of its proper divisors (16703303858228).

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

9157885768044 is a wasteful number, since it uses less digits than its factorization.

9157885768044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226078 (or 226064 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 72.

The spelling of 9157885768044 in words is "nine trillion, one hundred fifty-seven billion, eight hundred eighty-five million, seven hundred sixty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 3253 4212 6318 6506 9759 12636 13012 19518 29277 39036 42289 58554 84578 87831 117108 126867 169156 175662 222793 253734 263493 351324 380601 445586 507468 526986 668379 761202 790479 891172 1053972 1141803 1336758 1522404 1580958 2005137 2283606 2673516 2896309 3161916 3425409 4010274 4567212 5792618 6015411 6850818 8020548 8688927 10276227 11585236 12030822 13701636 17377854 18046233 20552454 24061644 26066781 34755708 36092466 41104908 52133562 54138699 72184932 78200343 104267124 108277398 156400686 216554796 234601029 312801372 469202058 703803087 724745629 938404116 1407606174 1449491258 2174236887 2815212348 2898982516 4348473774 6522710661 8696947548 9421693177 13045421322 18843386354 19568131983 26090842644 28265079531 37686772708 39136263966 56530159062 58704395949 78272527932 84795238593 113060318124 117408791898 169590477186 176113187847 234817583796 254385715779 339180954372 352226375694 508771431558 704452751388 763157147337 1017542863116 1526314294674 2289471442011 3052628589348 4578942884022 9157885768044