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64441853316 = 223815672
BaseRepresentation
bin111100000001000010…
…001010010110000100
320011100001201100000000
4330001002022112010
52023434103301231
645334300321300
74440633500241
oct740102122604
9204301640000
1064441853316
1125369823215
12105a5543230
1360cca85469
1431947845c8
151a226a76e6
hexf0108a584

64441853316 has 81 divisors (see below), whose sum is σ = 169259285559. Its totient is φ = 21466909656.

The previous prime is 64441853299. The next prime is 64441853339. The reversal of 64441853316 is 61335814446.

The square root of 64441853316 is 253854.

It is a perfect power (a square), and thus also a powerful number.

64441853316 is a `hidden beast` number, since 64 + 4 + 41 + 8 + 533 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41123565 + ... + 41125131.

Almost surely, 264441853316 is an apocalyptic number.

64441853316 is the 253854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64441853316

64441853316 is an abundant number, since it is smaller than the sum of its proper divisors (104817432243).

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

64441853316 is an frugal number, since it uses more digits than its factorization.

64441853316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 1572 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 64441853316 in words is "sixty-four billion, four hundred forty-one million, eight hundred fifty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1567 2187 2916 3134 4374 4701 6268 6561 8748 9402 13122 14103 18804 26244 28206 42309 56412 84618 126927 169236 253854 380781 507708 761562 1142343 1523124 2284686 2455489 3427029 4569372 4910978 6854058 7366467 9821956 10281087 13708116 14732934 20562174 22099401 29465868 41124348 44198802 66298203 88397604 132596406 198894609 265192812 397789218 596683827 795578436 1193367654 1790051481 2386735308 3580102962 5370154443 7160205924 10740308886 16110463329 21480617772 32220926658 64441853316