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68125722786 = 234111710721017
BaseRepresentation
bin111111011100100111…
…000000100010100010
320111211210120021220000
4333130213000202202
52104010141112121
651144014400430
74631135042412
oct773447004242
9214753507800
1068125722786
112698a215940
1211253200116
13656904bc94
143423b26642
151b8acd4526
hexfdc9c08a2

68125722786 has 160 divisors (see below), whose sum is σ = 177981769152. Its totient is φ = 19247293440.

The previous prime is 68125722733. The next prime is 68125722793. The reversal of 68125722786 is 68722752186.

68125722786 is a `hidden beast` number, since 68 + 1 + 2 + 572 + 2 + 7 + 8 + 6 = 666.

It is a super-2 number, since 2×681257227862 (a number of 22 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 3230950 + ... + 3251966.

Almost surely, 268125722786 is an apocalyptic number.

68125722786 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68125722786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88990884576).

68125722786 is an abundant number, since it is smaller than the sum of its proper divisors (109856046366).

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

68125722786 is a wasteful number, since it uses less digits than its factorization.

68125722786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21166 (or 21157 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 68125722786 in words is "sixty-eight billion, one hundred twenty-five million, seven hundred twenty-two thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 107 153 162 187 198 214 297 306 321 374 459 561 594 642 891 918 963 1122 1177 1377 1683 1782 1819 1926 2354 2754 2889 3366 3531 3638 5049 5457 5778 7062 8667 10098 10593 10914 15147 16371 17334 20009 21017 21186 30294 31779 32742 40018 42034 49113 60027 63051 63558 95337 98226 120054 126102 147339 180081 189153 190674 231187 294678 357289 360162 378306 462374 540243 567459 693561 714578 1071867 1080486 1134918 1387122 1620729 1702377 2080683 2143734 2248819 3215601 3241458 3404754 3930179 4161366 4497638 6242049 6431202 6746457 7860358 9646803 11790537 12484098 13492914 18726147 19293606 20239371 23581074 24737009 28940409 35371611 37452294 38229923 40478742 49474018 57880818 60718113 70743222 74211027 76459846 106114833 114689769 121436226 148422054 182154339 212229666 222633081 229379538 318344499 344069307 364308678 420529153 445266162 636688998 667899243 688138614 841058306 1032207921 1261587459 1335798486 2003697729 2064415842 2523174918 3096623763 3784762377 4007395458 6193247526 7569524754 11354287131 22708574262 34062861393 68125722786