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68277785040 = 24325791200383
BaseRepresentation
bin111111100101101011…
…000101000111010000
320112020101200212002100
4333211223011013100
52104313103110130
651211045520400
74634662411533
oct774553050720
9215211625070
1068277785040
1126a58036523
1211296113100
1365916c074a
143439dcaa1a
151b9931ec60
hexfe5ac51d0

68277785040 has 120 divisors (see below), whose sum is σ = 232202280960. Its totient is φ = 17976920832.

The previous prime is 68277785039. The next prime is 68277785077. The reversal of 68277785040 is 4058777286.

It is a happy number.

68277785040 is a `hidden beast` number, since 68 + 2 + 7 + 7 + 78 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543312 + ... + 657071.

It is an arithmetic number, because the mean of its divisors is an integer number (1935019008).

Almost surely, 268277785040 is an apocalyptic number.

68277785040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68277785040 is an abundant number, since it is smaller than the sum of its proper divisors (163924495920).

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

68277785040 is a wasteful number, since it uses less digits than its factorization.

68277785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200481 (or 1200472 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 68277785040 in words is "sixty-eight billion, two hundred seventy-seven million, seven hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 9480 11376 14220 18960 28440 56880 1200383 2400766 3601149 4801532 6001915 7202298 9603064 10803447 12003830 14404596 18005745 19206128 21606894 24007660 28809192 36011490 43213788 48015320 54017235 57618384 72022980 86427576 94830257 96030640 108034470 144045960 172855152 189660514 216068940 284490771 288091920 379321028 432137880 474151285 568981542 758642056 853472313 864275760 948302570 1137963084 1422453855 1517284112 1706944626 1896605140 2275926168 2844907710 3413889252 3793210280 4267361565 4551852336 5689815420 6827778504 7586420560 8534723130 11379630840 13655557008 17069446260 22759261680 34138892520 68277785040