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64264278016 = 2121722332
BaseRepresentation
bin111011110110011100…
…110001000000000000
320010212200120120111001
4323312130301000000
52023103123344031
645304514301344
74433346231061
oct736634610000
9203780516431
1064264278016
1125288567274
1210555b87854
1360a2050113
143178d5c568
151a11ccc861
hexef6731000

64264278016 has 117 divisors (see below), whose sum is σ = 137105553151. Its totient is φ = 30112219136.

The previous prime is 64264277983. The next prime is 64264278049. The reversal of 64264278016 is 61087246246.

It is a happy number.

The square root of 64264278016 is 253504.

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

It is an interprime number because it is at equal distance from previous prime (64264277983) and next prime (64264278049).

It can be written as a sum of positive squares in 4 ways, for example, as 32444416 + 64231833600 = 5696^2 + 253440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 275812236 + ... + 275812468.

Almost surely, 264264278016 is an apocalyptic number.

64264278016 is the 253504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64264278016

64264278016 is an abundant number, since it is smaller than the sum of its proper divisors (72841275135).

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

64264278016 is an frugal number, since it uses more digits than its factorization.

64264278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 64264278016 in words is "sixty-four billion, two hundred sixty-four million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 233 256 272 289 466 512 544 578 932 1024 1088 1156 1864 2048 2176 2312 3728 3961 4096 4352 4624 7456 7922 8704 9248 14912 15844 17408 18496 29824 31688 34816 36992 54289 59648 63376 67337 69632 73984 108578 119296 126752 134674 147968 217156 238592 253504 269348 295936 434312 477184 507008 538696 591872 868624 922913 954368 1014016 1077392 1183744 1737248 1845826 2028032 2154784 3474496 3691652 4056064 4309568 6948992 7383304 8112128 8619136 13897984 14766608 15689521 16224256 17238272 27795968 29533216 31379042 34476544 55591936 59066432 62758084 68953088 111183872 118132864 125516168 137906176 222367744 236265728 251032336 275812352 472531456 502064672 945062912 1004129344 1890125824 2008258688 3780251648 4016517376 8033034752 16066069504 32132139008 64264278016