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67878720001344 = 2637172970882353
BaseRepresentation
bin11110110111100001111101…
…11111100101010101000000
322220100010211201001122021110
433123300332333211111000
532344111104310020334
6400211015315123320
720204034650115030
oct1733607677452500
9286303751048243
1067878720001344
111a6a022693429a
127743425ba3540
132bb4c22034225
1412a94c1a778c0
157caa344c3ae9
hex3dbc3efe5540

67878720001344 has 112 divisors (see below), whose sum is σ = 217325985959808. Its totient is φ = 18253101170688.

The previous prime is 67878720001283. The next prime is 67878720001481. The reversal of 67878720001344 is 44310002787876.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485418329 + ... + 1485464024.

Almost surely, 267878720001344 is an apocalyptic number.

67878720001344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67878720001344 is an abundant number, since it is smaller than the sum of its proper divisors (149447265958464).

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

67878720001344 is a wasteful number, since it uses less digits than its factorization.

67878720001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970882392 (or 2970882382 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 67878720001344 in words is "sixty-seven trillion, eight hundred seventy-eight billion, seven hundred twenty million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 2970882353 5941764706 8912647059 11883529412 17825294118 20796176471 23767058824 35650588236 41592352942 47534117648 50505000001 62388529413 71301176472 83184705884 95068235296 101010000002 124777058826 142602352944 151515000003 166369411768 190136470592 202020000004 249554117652 285204705888 303030000006 332738823536 353535000007 404040000008 499108235304 570409411776 606060000012 665477647072 707070000014 808080000016 998216470608 1060605000021 1212120000024 1330955294144 1414140000028 1616160000032 1996432941216 2121210000042 2424240000048 2828280000056 3232320000064 3992865882432 4242420000084 4848480000096 5656560000112 8484840000168 9696960000192 11313120000224 16969680000336 22626240000448 33939360000672 67878720001344