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642222266320 = 24567439272933
BaseRepresentation
bin10010101100001110110…
…11100001011111010000
32021101200120111102021201
421112013123201133100
541010232400010240
61211011032000544
764253603123245
oct11260733413720
92241616442251
10642222266320
112284017aa178
12a4572b30154
134873b23924b
1423125a475cc
1511a8b9bdd9a
hex95876e17d0

642222266320 has 80 divisors (see below), whose sum is σ = 1518910462080. Its totient is φ = 252477384192.

The previous prime is 642222266299. The next prime is 642222266321. The reversal of 642222266320 is 23662222246.

642222266320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 642222266320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642222266321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2216574 + ... + 2489506.

It is an arithmetic number, because the mean of its divisors is an integer number (18986380776).

Almost surely, 2642222266320 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 642222266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759455231040).

642222266320 is an abundant number, since it is smaller than the sum of its proper divisors (876688195760).

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

642222266320 is a wasteful number, since it uses less digits than its factorization.

642222266320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273452 (or 273446 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 642222266320 its reverse (23662222246), we get a palindrome (665884488566).

The spelling of 642222266320 in words is "six hundred forty-two billion, two hundred twenty-two million, two hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 439 536 670 878 1072 1340 1756 2195 2680 3512 4390 5360 7024 8780 17560 29413 35120 58826 117652 147065 235304 272933 294130 470608 545866 588260 1091732 1176520 1364665 2183464 2353040 2729330 4366928 5458660 10917320 18286511 21834640 36573022 73146044 91432555 119817587 146292088 182865110 239635174 292584176 365730220 479270348 599087935 731460440 958540696 1198175870 1462920880 1917081392 2396351740 4792703480 8027778329 9585406960 16055556658 32111113316 40138891645 64222226632 80277783290 128444453264 160555566580 321111133160 642222266320