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68012376480 = 25325471004911
BaseRepresentation
bin111111010101110110…
…101000000110100000
320111112220021200222200
4333111312220012200
52103242132021410
651124445133200
74625260442616
oct772566500640
9214486250880
1068012376480
1126931239104
121122125a200
13654b714769
143412a5d6b6
151b80d953c0
hexfd5da81a0

68012376480 has 144 divisors (see below), whose sum is σ = 237030603264. Its totient is φ = 17750730240.

The previous prime is 68012376473. The next prime is 68012376533. The reversal of 68012376480 is 8467321086.

68012376480 is a `hidden beast` number, since 6 + 80 + 1 + 23 + 76 + 480 = 666.

68012376480 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434776 + ... + 570135.

It is an arithmetic number, because the mean of its divisors is an integer number (1646045856).

Almost surely, 268012376480 is an apocalyptic number.

68012376480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68012376480 is an abundant number, since it is smaller than the sum of its proper divisors (169018226784).

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

68012376480 is a wasteful number, since it uses less digits than its factorization.

68012376480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004979 (or 1004968 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 68012376480 in words is "sixty-eight billion, twelve million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1128 1410 1440 1504 1692 1880 2115 2256 2820 3384 3760 4230 4512 5640 6768 7520 8460 11280 13536 16920 22560 33840 67680 1004911 2009822 3014733 4019644 5024555 6029466 8039288 9044199 10049110 12058932 15073665 16078576 18088398 20098220 24117864 30147330 32157152 36176796 40196440 45220995 47230817 48235728 60294660 72353592 80392880 90441990 94461634 96471456 120589320 141692451 144707184 160785760 180883980 188923268 236154085 241178640 283384902 289414368 361767960 377846536 425077353 472308170 482357280 566769804 708462255 723535920 755693072 850154706 944616340 1133539608 1416924510 1447071840 1511386144 1700309412 1889232680 2125386765 2267079216 2833849020 3400618824 3778465360 4250773530 4534158432 5667698040 6801237648 7556930720 8501547060 11335396080 13602475296 17003094120 22670792160 34006188240 68012376480