Search a number
-
+
67687697376 = 25321329361703
BaseRepresentation
bin111111000010100000…
…000100101111100000
320110201021100021222200
4333002200010233200
52102111022304001
651032330133200
74614235635405
oct770240045740
9213637307880
1067687697376
1126784a38972
1211150581200
1364c9385850
1433c18a42ac
151b6260e086
hexfc2804be0

67687697376 has 144 divisors (see below), whose sum is σ = 208004430816. Its totient is φ = 20755565568.

The previous prime is 67687697339. The next prime is 67687697377. The reversal of 67687697376 is 67379678676.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67687697377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1066141 + ... + 1127843.

It is an arithmetic number, because the mean of its divisors is an integer number (1444475214).

Almost surely, 267687697376 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 67687697376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104002215408).

67687697376 is an abundant number, since it is smaller than the sum of its proper divisors (140316733440).

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

67687697376 is a wasteful number, since it uses less digits than its factorization.

67687697376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62025 (or 62014 counting only the distinct ones).

The product of its digits is 672126336, while the sum is 72.

The spelling of 67687697376 in words is "sixty-seven billion, six hundred eighty-seven million, six hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 293 312 416 468 586 624 879 936 1172 1248 1758 1872 2344 2637 3516 3744 3809 4688 5274 7032 7618 9376 10548 11427 14064 15236 21096 22854 28128 30472 34281 42192 45708 60944 61703 68562 84384 91416 121888 123406 137124 182832 185109 246812 274248 365664 370218 493624 548496 555327 740436 802139 987248 1096992 1110654 1480872 1604278 1974496 2221308 2406417 2961744 3208556 4442616 4812834 5923488 6417112 7219251 8885232 9625668 12834224 14438502 17770464 18078979 19251336 25668448 28877004 36157958 38502672 54236937 57754008 72315916 77005344 108473874 115508016 144631832 162710811 216947748 231016032 235026727 289263664 325421622 433895496 470053454 578527328 650843244 705080181 867790992 940106908 1301686488 1410160362 1735581984 1880213816 2115240543 2603372976 2820320724 3760427632 4230481086 5206745952 5640641448 7520855264 8460962172 11281282896 16921924344 22562565792 33843848688 67687697376