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68823163296 = 2533299926561
BaseRepresentation
bin100000000011000101…
…1100010000110100000
320120122101220221102000
41000012023202012200
52111422212211141
651341131124000
74654334143566
oct1000613420640
9216571827360
1068823163296
1127207977258
12114088a3600
13664a6a3384
14348c5d5a36
151bcc14d5b6
hex10062e21a0

68823163296 has 96 divisors (see below), whose sum is σ = 200808720000. Its totient is φ = 22932541440.

The previous prime is 68823163291. The next prime is 68823163301. The reversal of 68823163296 is 69236132886.

68823163296 is a `hidden beast` number, since 6 + 88 + 231 + 6 + 329 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (68823163291) and next prime (68823163301).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68823163291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2577856 + ... + 2604416.

It is an arithmetic number, because the mean of its divisors is an integer number (2091757500).

Almost surely, 268823163296 is an apocalyptic number.

It is an amenable number.

68823163296 is an abundant number, since it is smaller than the sum of its proper divisors (131985556704).

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

68823163296 is a wasteful number, since it uses less digits than its factorization.

68823163296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579 (or 29565 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 68823163296 in words is "sixty-eight billion, eight hundred twenty-three million, one hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2999 5998 8997 11996 17994 23992 26561 26991 35988 47984 53122 53982 71976 79683 80973 95968 106244 107964 143952 159366 161946 212488 215928 239049 287904 318732 323892 424976 431856 478098 637464 647784 717147 849952 863712 956196 1274928 1295568 1434294 1912392 2549856 2591136 2868588 3824784 5737176 7649568 11474352 22948704 79656439 159312878 238969317 318625756 477938634 637251512 716907951 955877268 1274503024 1433815902 1911754536 2150723853 2549006048 2867631804 3823509072 4301447706 5735263608 7647018144 8602895412 11470527216 17205790824 22941054432 34411581648 68823163296