Search a number
-
+
67966460928 = 2103222333071
BaseRepresentation
bin111111010011000111…
…011110010000000000
320111102200212221200200
4333103013132100000
52103143403222203
651120125045200
74624162246212
oct772307362000
9214380787620
1067966460928
1126908328073
12112099b6800
1365420594b2
14340a90a5b2
151b7bd259a3
hexfd31de400

67966460928 has 132 divisors (see below), whose sum is σ = 197137694208. Its totient is φ = 22553210880.

The previous prime is 67966460927. The next prime is 67966460981. The reversal of 67966460928 is 82906466976.

67966460928 is a `hidden beast` number, since 67 + 96 + 6 + 460 + 9 + 28 = 666.

It is a super-2 number, since 2×679664609282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67966460927) 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 11 ways as a sum of consecutive naturals, for example, 2038633 + ... + 2071703.

Almost surely, 267966460928 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 67966460928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98568847104).

67966460928 is an abundant number, since it is smaller than the sum of its proper divisors (129171233280).

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

67966460928 is a wasteful number, since it uses less digits than its factorization.

67966460928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33320 (or 33299 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 67966460928 in words is "sixty-seven billion, nine hundred sixty-six million, four hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 512 576 669 768 892 1024 1152 1338 1536 1784 2007 2304 2676 3072 3568 4014 4608 5352 7136 8028 9216 10704 14272 16056 21408 28544 32112 33071 42816 57088 64224 66142 85632 99213 114176 128448 132284 171264 198426 228352 256896 264568 297639 342528 396852 513792 529136 595278 685056 793704 1027584 1058272 1190556 1587408 2055168 2116544 2381112 3174816 4233088 4762224 6349632 7374833 8466176 9524448 12699264 14749666 16932352 19048896 22124499 25398528 29499332 33864704 38097792 44248998 50797056 58998664 66373497 76195584 88497996 101594112 117997328 132746994 152391168 176995992 235994656 265493988 304782336 353991984 471989312 530987976 707983968 943978624 1061975952 1415967936 1887957248 2123951904 2831935872 3775914496 4247903808 5663871744 7551828992 8495807616 11327743488 16991615232 22655486976 33983230464 67966460928