Search a number
-
+
64514679168 = 273438214759
BaseRepresentation
bin111100000101010111…
…111110000110000000
320011112010202021021210
4330011113332012000
52024111224213133
645345421250120
74442506503432
oct740527760600
9204463667253
1064514679168
11253a6944375
1210605a03940
136111ba3294
1431a0300652
151a28c90763
hexf055fe180

64514679168 has 128 divisors (see below), whose sum is σ = 175602873600. Its totient is φ = 20974786560.

The previous prime is 64514679137. The next prime is 64514679169. The reversal of 64514679168 is 86197641546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64514679169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13553973 + ... + 13558731.

It is an arithmetic number, because the mean of its divisors is an integer number (1371897450).

Almost surely, 264514679168 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 64514679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87801436800).

64514679168 is an abundant number, since it is smaller than the sum of its proper divisors (111088194432).

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

64514679168 is a wasteful number, since it uses less digits than its factorization.

64514679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 5628 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 64514679168 in words is "sixty-four billion, five hundred fourteen million, six hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 821 1032 1376 1642 2064 2463 2752 3284 4128 4759 4926 5504 6568 8256 9518 9852 13136 14277 16512 19036 19704 26272 28554 35303 38072 39408 52544 57108 70606 76144 78816 105088 105909 114216 141212 152288 157632 204637 211818 228432 282424 304576 315264 409274 423636 456864 564848 609152 613911 818548 847272 913728 1129696 1227822 1637096 1694544 1827456 2259392 2455644 3274192 3389088 3907139 4518784 4911288 6548384 6778176 7814278 9822576 11721417 13096768 13556352 15628556 19645152 23442834 26193536 31257112 39290304 46885668 62514224 78580608 93771336 125028448 168006977 187542672 250056896 336013954 375085344 500113792 504020931 672027908 750170688 1008041862 1344055816 1500341376 2016083724 2688111632 4032167448 5376223264 8064334896 10752446528 16128669792 21504893056 32257339584 64514679168