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535436342056 = 237112372135663
BaseRepresentation
bin1111100101010100111…
…11100011001100101000
31220012001110221101221201
413302222133203030220
532233033200421211
61045550455013544
753453416546060
oct7625237431450
91805043841851
10535436342056
11197093946800
128793066a2b4
133b650898905
141bcb56743a0
15dddbb550c1
hex7caa7e3328

535436342056 has 96 divisors (see below), whose sum is σ = 1295237502720. Its totient is φ = 202973316480.

The previous prime is 535436342039. The next prime is 535436342081. The reversal of 535436342056 is 650243634535.

It is a junction number, because it is equal to n+sod(n) for n = 535436341997 and 535436342015.

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, 817120 + ... + 1318543.

It is an arithmetic number, because the mean of its divisors is an integer number (13492057320).

Almost surely, 2535436342056 is an apocalyptic number.

535436342056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

535436342056 is an abundant number, since it is smaller than the sum of its proper divisors (759801160664).

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

535436342056 is a wasteful number, since it uses less digits than its factorization.

535436342056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135735 (or 2135720 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 46.

The spelling of 535436342056 in words is "five hundred thirty-five billion, four hundred thirty-six million, three hundred forty-two thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 121 148 154 242 259 296 308 407 484 518 616 814 847 968 1036 1628 1694 2072 2849 3256 3388 4477 5698 6776 8954 11396 17908 22792 31339 35816 62678 125356 250712 2135663 4271326 8542652 14949641 17085304 23492293 29899282 46984586 59798564 79019531 93969172 119597128 158039062 164446051 187938344 258415223 316078124 328892102 516830446 553136717 632156248 657784204 869214841 1033660892 1106273434 1315568408 1738429682 1808906561 2067321784 2212546868 3476859364 3617813122 4425093736 6084503887 6953718728 7235626244 9561363251 12169007774 14471252488 19122726502 24338015548 38245453004 48676031096 66929542757 76490906008 133859085514 267718171028 535436342056