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6681996445680 = 24365114574699
BaseRepresentation
bin110000100111100011000…
…0001100100011111110000
3212122210101211011122000000
41201033012001210133300
51333434212042230210
622113400005430000
71256521046440143
oct141170601443760
925583354148000
106681996445680
112146900881236
128bb02310b300
133961569236ca
141915a602005a
15b8c326d3ac0
hex613c60647f0

6681996445680 has 140 divisors (see below), whose sum is σ = 23292807360600. Its totient is φ = 1781865703296.

The previous prime is 6681996445669. The next prime is 6681996445693. The reversal of 6681996445680 is 865446991866.

6681996445680 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 9 + 96 + 4 + 456 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6681996445599 and 6681996445608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57229030 + ... + 57345669.

Almost surely, 26681996445680 is an apocalyptic number.

6681996445680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6681996445680 is an abundant number, since it is smaller than the sum of its proper divisors (16610810914920).

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

6681996445680 is a wasteful number, since it uses less digits than its factorization.

6681996445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114574730 (or 114574709 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 6681996445680 in words is "six trillion, six hundred eighty-one billion, nine hundred ninety-six million, four hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 58320 114574699 229149398 343724097 458298796 572873495 687448194 916597592 1031172291 1145746990 1374896388 1718620485 1833195184 2062344582 2291493980 2749792776 3093516873 3437240970 4124689164 4582987960 5155861455 5499585552 6187033746 6874481940 8249378328 9165975920 9280550619 10311722910 12374067492 13748963880 15467584365 16498756656 18561101238 20623445820 24748134984 27497927760 27841651857 30935168730 37122202476 41246891640 46402753095 49496269968 55683303714 61870337460 74244404952 82493783280 83524955571 92805506190 111366607428 123740674920 139208259285 148488809904 167049911142 185611012380 222733214856 247481349840 278416518570 334099822284 371222024760 417624777855 445466429712 556833037140 668199644568 742444049520 835249555710 1113666074280 1336399289136 1670499111420 2227332148560 3340998222840 6681996445680