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75350505655264 = 2572415919865717
BaseRepresentation
bin10001001000011111101000…
…000111111000101111100000
3100212210102211021222001012111
4101020133220013320233200
534334020313421432024
6424131313332405104
721604615526223100
oct2110375007705740
9325712737861174
1075350505655264
1122010a74071244
12854b523a76794
1333076a3351788
141486dabca9200
158aa08d84ea94
hex4487e81f8be0

75350505655264 has 144 divisors (see below), whose sum is σ = 179771239211760. Its totient is φ = 30971445872640.

The previous prime is 75350505655199. The next prime is 75350505655297. The reversal of 75350505655264 is 46255650505357.

It is a junction number, because it is equal to n+sod(n) for n = 75350505655199 and 75350505655208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6139867 + ... + 13725850.

It is an arithmetic number, because the mean of its divisors is an integer number (1248411383415).

Almost surely, 275350505655264 is an apocalyptic number.

It is an amenable number.

75350505655264 is an abundant number, since it is smaller than the sum of its proper divisors (104420733556496).

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

75350505655264 is a wasteful number, since it uses less digits than its factorization.

75350505655264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19865841 (or 19865826 counting only the distinct ones).

The product of its (nonzero) digits is 94500000, while the sum is 58.

The spelling of 75350505655264 in words is "seventy-five trillion, three hundred fifty billion, five hundred five million, six hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 59 82 98 112 118 164 196 224 236 287 328 392 413 472 574 656 784 826 944 1148 1312 1568 1652 1888 2009 2296 2419 2891 3304 4018 4592 4838 5782 6608 8036 9184 9676 11564 13216 16072 16933 19352 23128 32144 33866 38704 46256 64288 67732 77408 92512 118531 135464 237062 270928 474124 541856 948248 1896496 3792992 19865717 39731434 79462868 139060019 158925736 278120038 317851472 556240076 635702944 814494397 973420133 1112480152 1172077303 1628988794 1946840266 2224960304 2344154606 3257977588 3893680532 4449920608 4688309212 5701460779 6515955176 7787361064 8204541121 9376618424 11402921558 13031910352 15574722128 16409082242 18753236848 22805843116 26063820704 31149444256 32818164484 37506473696 39910225453 45611686232 48055169423 57431787847 65636328968 79820450906 91223372464 96110338846 114863575694 131272657936 159640901812 182446744928 192220677692 229727151388 262545315872 319281803624 336386185961 384441355384 459454302776 638563607248 672772371922 768882710768 918908605552 1277127214496 1345544743844 1537765421536 1837817211104 2354703301727 2691089487688 4709406603454 5382178975376 9418813206908 10764357950752 18837626413816 37675252827632 75350505655264