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1068412259904 = 263111393639403
BaseRepresentation
bin11111000110000100101…
…01010100111001000000
310210010202111011022101220
433203002111110321000
5120001102014304104
62134453302355040
7140122152236553
oct17430225247100
93703674138356
101068412259904
1138212495a370
1215309512ba80
137999b7b07c2
14399d623a69a
151cbd279a7d9
hexf8c2554e40

1068412259904 has 112 divisors (see below), whose sum is σ = 3106012949760. Its totient is φ = 321431984640.

The previous prime is 1068412259899. The next prime is 1068412259917. The reversal of 1068412259904 is 4099522148601.

It is a happy number.

It is a super-2 number, since 2×10684122599042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526134 + ... + 2113269.

It is an arithmetic number, because the mean of its divisors is an integer number (27732258480).

Almost surely, 21068412259904 is an apocalyptic number.

It is an amenable number.

1068412259904 is an abundant number, since it is smaller than the sum of its proper divisors (2037600689856).

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

1068412259904 is a wasteful number, since it uses less digits than its factorization.

1068412259904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639568 (or 3639558 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 1068412259904 in words is "one trillion, sixty-eight billion, four hundred twelve million, two hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 139 176 192 264 278 352 417 528 556 704 834 1056 1112 1529 1668 2112 2224 3058 3336 4448 4587 6116 6672 8896 9174 12232 13344 18348 24464 26688 36696 48928 73392 97856 146784 293568 3639403 7278806 10918209 14557612 21836418 29115224 40033433 43672836 58230448 80066866 87345672 116460896 120100299 160133732 174691344 232921792 240200598 320267464 349382688 480401196 505877017 640534928 698765376 960802392 1011754034 1281069856 1517631051 1921604784 2023508068 2562139712 3035262102 3843209568 4047016136 5564647187 6070524204 7686419136 8094032272 11129294374 12141048408 16188064544 16693941561 22258588748 24282096816 32376129088 33387883122 44517177496 48564193632 66775766244 89034354992 97128387264 133551532488 178068709984 267103064976 356137419968 534206129952 1068412259904