Search a number
-
+
68124324288 = 2631931602401
BaseRepresentation
bin111111011100100001…
…101011000111000000
320111211200221020111210
4333130201223013000
52104004311334123
651143524410120
74631120126226
oct773441530700
9214750836453
1068124324288
1126989450159
1211252846940
13656897c577
143423880b16
151b8ab09e93
hexfdc86b1c0

68124324288 has 112 divisors (see below), whose sum is σ = 195852938240. Its totient is φ = 20818944000.

The previous prime is 68124324271. The next prime is 68124324337. The reversal of 68124324288 is 88242342186.

68124324288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188113 + ... + 414288.

Almost surely, 268124324288 is an apocalyptic number.

It is an amenable number.

68124324288 is an abundant number, since it is smaller than the sum of its proper divisors (127728613952).

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

68124324288 is a wasteful number, since it uses less digits than its factorization.

68124324288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602466 (or 602456 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 68124324288 in words is "sixty-eight billion, one hundred twenty-four million, three hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1488 1767 1824 1984 2356 2976 3534 3648 4712 5952 7068 9424 14136 18848 28272 37696 56544 113088 602401 1204802 1807203 2409604 3614406 4819208 7228812 9638416 11445619 14457624 18674431 19276832 22891238 28915248 34336857 37348862 38553664 45782476 56023293 57830496 68673714 74697724 91564952 112046586 115660992 137347428 149395448 183129904 224093172 274694856 298790896 354814189 366259808 448186344 549389712 597581792 709628378 732519616 896372688 1064442567 1098779424 1195163584 1419256756 1792745376 2128885134 2197558848 2838513512 3585490752 4257770268 5677027024 8515540536 11354054048 17031081072 22708108096 34062162144 68124324288