Search a number
-
+
64387287504 = 2434222122369
BaseRepresentation
bin111011111101110010…
…000000100111010000
320011012021001002210000
4323331302000213100
52023331121200004
645325031010000
74436401625241
oct737562004720
9204167032700
1064387287504
1125340a44101
121058b209900
1360c168bab7
14318b41ccc8
151a1c9c9c39
hexefdc809d0

64387287504 has 100 divisors (see below), whose sum is σ = 186447731140. Its totient is φ = 21451806720.

The previous prime is 64387287499. The next prime is 64387287521. The reversal of 64387287504 is 40578278346.

64387287504 is a `hidden beast` number, since 64 + 3 + 8 + 72 + 8 + 7 + 504 = 666.

64387287504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36748890000 + 27638397504 = 191700^2 + 166248^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2867232 + ... + 2889600.

Almost surely, 264387287504 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 64387287504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93223865570).

64387287504 is an abundant number, since it is smaller than the sum of its proper divisors (122060443636).

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

64387287504 is a wasteful number, since it uses less digits than its factorization.

64387287504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610 (or 24595 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 64387287504 in words is "sixty-four billion, three hundred eighty-seven million, two hundred eighty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2221 4442 6663 8884 13326 17768 19989 22369 26652 35536 39978 44738 53304 59967 67107 79956 89476 106608 119934 134214 159912 178952 179901 201321 239868 268428 319824 357904 359802 402642 479736 536856 603963 719604 805284 959472 1073712 1207926 1439208 1610568 1811889 2415852 2878416 3221136 3623778 4831704 7247556 9663408 14495112 28990224 49681549 99363098 149044647 198726196 298089294 397452392 447133941 596178588 794904784 894267882 1192357176 1341401823 1788535764 2384714352 2682803646 3577071528 4024205469 5365607292 7154143056 8048410938 10731214584 16096821876 21462429168 32193643752 64387287504