Search a number
-
+
68398487040 = 293513685081
BaseRepresentation
bin111111101100110111…
…100001011000000000
320112112210211011002210
4333230313201120000
52110040003041130
651231040542120
74640656355442
oct775467413000
9215483734083
1068398487040
112700a187744
121130a621940
1365b0702050
14344c04a492
151ba4c135b0
hexfecde1600

68398487040 has 160 divisors (see below), whose sum is σ = 235481865696. Its totient is φ = 16836526080.

The previous prime is 68398487033. The next prime is 68398487041. The reversal of 68398487040 is 4078489386.

68398487040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×683984870402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68398487041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242701 + ... + 442380.

Almost surely, 268398487040 is an apocalyptic number.

68398487040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68398487040 is an abundant number, since it is smaller than the sum of its proper divisors (167083378656).

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

68398487040 is a wasteful number, since it uses less digits than its factorization.

68398487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685120 (or 685104 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 68398487040 in words is "sixty-eight billion, three hundred ninety-eight million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 49920 99840 685081 1370162 2055243 2740324 3425405 4110486 5480648 6850810 8220972 8906053 10276215 10961296 13701620 16441944 17812106 20552430 21922592 26718159 27403240 32883888 35624212 41104860 43845184 44530265 53436318 54806480 65767776 71248424 82209720 87690368 89060530 106872636 109612960 131535552 133590795 142496848 164419440 175380736 178121060 213745272 219225920 263071104 267181590 284993696 328838880 350761472 356242120 427490544 438451840 526142208 534363180 569987392 657677760 712484240 854981088 876903680 1052284416 1068726360 1139974784 1315355520 1424968480 1709962176 1753807360 2137452720 2279949568 2630711040 2849936960 3419924352 4274905440 4559899136 5261422080 5699873920 6839848704 8549810880 11399747840 13679697408 17099621760 22799495680 34199243520 68398487040