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643311242442 = 2321110171944741
BaseRepresentation
bin10010101110010000101…
…01101000110011001010
32021111111110121010200200
421113020111220303022
541020000134224232
61211311052313030
764322565223611
oct11271025506312
92244443533620
10643311242442
11228910475040
12a4817772776
1348882a2a30b
14231ca516878
1511b023c877c
hex95c8568cca

643311242442 has 96 divisors (see below), whose sum is σ = 1537778960640. Its totient is φ = 192739920000.

The previous prime is 643311242411. The next prime is 643311242449. The reversal of 643311242442 is 244242113346.

643311242442 is a `hidden beast` number, since 64 + 3 + 3 + 112 + 42 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 643311242397 and 643311242406.

It is not an unprimeable number, because it can be changed into a prime (643311242449) 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, 14356192 + ... + 14400932.

It is an arithmetic number, because the mean of its divisors is an integer number (16018530840).

Almost surely, 2643311242442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643311242442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768889480320).

643311242442 is an abundant number, since it is smaller than the sum of its proper divisors (894467718198).

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

643311242442 is a wasteful number, since it uses less digits than its factorization.

643311242442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45580 (or 45577 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 643311242442 its reverse (244242113346), we get a palindrome (887553355788).

The spelling of 643311242442 in words is "six hundred forty-three billion, three hundred eleven million, two hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 719 909 1111 1438 1818 2157 2222 3333 4314 6471 6666 7909 9999 12942 15818 19998 23727 44741 47454 71181 72619 89482 134223 142362 145238 217857 268446 402669 435714 492151 653571 798809 805338 984302 1307142 1476453 1597618 2396427 2952906 4429359 4518841 4792854 7189281 8858718 9037682 13556523 14378562 27113046 32168779 40669569 49707251 64337558 81339138 96506337 99414502 149121753 193012674 289519011 298243506 353856569 447365259 579038022 707713138 894730518 1061569707 2123139414 3184709121 3249046679 6369418242 6498093358 9747140037 19494280074 29241420111 35739513469 58482840222 71479026938 107218540407 214437080814 321655621221 643311242442