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642430034246 = 2711213113258161
BaseRepresentation
bin10010101100100111101…
…00000110000101000110
32021102020001110010022002
421112103310012011012
541011144042043441
61211043413105302
764262005122530
oct11262364060506
92242201403262
10642430034246
112284a9008300
12a4610628232
13487722b3150
142314548c850
1511a9ed5eb9b
hex9593d06146

642430034246 has 96 divisors (see below), whose sum is σ = 1315188753984. Its totient is φ = 228998246400.

The previous prime is 642430034227. The next prime is 642430034293.

642430034246 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2359406 + ... + 2617566.

It is an arithmetic number, because the mean of its divisors is an integer number (13699882854).

Almost surely, 2642430034246 is an apocalyptic number.

642430034246 is an abundant number, since it is smaller than the sum of its proper divisors (672758719738).

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

642430034246 is a wasteful number, since it uses less digits than its factorization.

642430034246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258318 (or 258307 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 6424300 and 34246, that added together give a palindrome (6458546).

The spelling of 642430034246 in words is "six hundred forty-two billion, four hundred thirty million, thirty-four thousand, two hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 113 121 143 154 182 226 242 286 791 847 1001 1243 1469 1573 1582 1694 2002 2486 2938 3146 8701 10283 11011 13673 16159 17402 20566 22022 27346 32318 95711 113113 177749 191422 226226 258161 355498 516322 1244243 1807127 2488486 2839771 3356093 3614254 5679542 6712186 19878397 23492651 29172193 31237481 36917023 39756794 46985302 58344386 62474962 73834046 204205351 218662367 258419161 320894123 379238509 406087253 408410702 437324734 516838322 641788246 758477018 812174506 2246258861 2654669563 2842610771 3529835353 4171623599 4492517722 5309339126 5685221542 7059670706 8343247198 24708847471 29201365193 45887859589 49417694942 58402730386 91775719178 321215017123 642430034246