Search a number
-
+
64893430368 = 2533135777549
BaseRepresentation
bin111100011011111100…
…110010101001100000
320012111112102211021000
4330123330302221200
52030400204232433
645451151232000
74455056025354
oct743374625140
9205445384230
1064893430368
1125580716798
12106b0818600
1361724b4c10
1431d8733464
151a4c158113
hexf1bf32a60

64893430368 has 96 divisors (see below), whose sum is σ = 203831964000. Its totient is φ = 19967205888.

The previous prime is 64893430351. The next prime is 64893430369. The reversal of 64893430368 is 86303439846.

64893430368 is a `hidden beast` number, since 64 + 8 + 93 + 430 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×648934303682 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64893430369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877543 + ... + 2900006.

It is an arithmetic number, because the mean of its divisors is an integer number (2123249625).

Almost surely, 264893430368 is an apocalyptic number.

It is an amenable number.

64893430368 is an abundant number, since it is smaller than the sum of its proper divisors (138938533632).

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

64893430368 is a wasteful number, since it uses less digits than its factorization.

64893430368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777581 (or 5777567 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 64893430368 in words is "sixty-four billion, eight hundred ninety-three million, four hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 5777549 11555098 17332647 23110196 34665294 46220392 51997941 69330588 75108137 92440784 103995882 138661176 150216274 155993823 184881568 207991764 225324411 277322352 300432548 311987646 415983528 450648822 554644704 600865096 623975292 675973233 831967056 901297644 1201730192 1247950584 1351946466 1663934112 1802595288 2027919699 2403460384 2495901168 2703892932 3605190576 4055839398 4991802336 5407785864 7210381152 8111678796 10815571728 16223357592 21631143456 32446715184 64893430368