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6788484921920 = 265136997233221
BaseRepresentation
bin110001011001001000100…
…1110110111101001000000
3220000222021012000201100112
41202302101032313221000
51342210304120000140
622234330435210452
71300310661524042
oct142622116675100
926028235021315
106788484921920
112187a86843599
129177a1a46a28
133a31c777a9b0
141967c8ac5a92
15bb8b6394c65
hex62c913b7a40

6788484921920 has 112 divisors (see below), whose sum is σ = 17411110047408. Its totient is φ = 2506148536320.

The previous prime is 6788484921877. The next prime is 6788484921931. The reversal of 6788484921920 is 291294848876.

It can be written as a sum of positive squares in 8 ways, for example, as 262176769024 + 6526308152896 = 512032^2 + 2554664^2 .

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 15 ways as a sum of consecutive naturals, for example, 28990910 + ... + 29224130.

It is an arithmetic number, because the mean of its divisors is an integer number (155456339709).

Almost surely, 26788484921920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6788484921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705555023704).

6788484921920 is an abundant number, since it is smaller than the sum of its proper divisors (10622625125488).

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

6788484921920 is a wasteful number, since it uses less digits than its factorization.

6788484921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240248 (or 240238 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 68.

The spelling of 6788484921920 in words is "six trillion, seven hundred eighty-eight billion, four hundred eighty-four million, nine hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 6997 13994 27988 34985 55976 69970 90961 111952 139940 181922 223904 233221 279880 363844 447808 454805 466442 559760 727688 909610 932884 1119520 1166105 1455376 1819220 1865768 2239040 2332210 2910752 3031873 3638440 3731536 4664420 5821504 6063746 7276880 7463072 9328840 12127492 14553760 14926144 15159365 18657680 24254984 29107520 30318730 37315360 48509968 60637460 74630720 97019936 121274920 194039872 242549840 485099680 970199360 1631847337 3263694674 6527389348 8159236685 13054778696 16318473370 21214015381 26109557392 32636946740 42428030762 52219114784 65273893480 84856061524 104438229568 106070076905 130547786960 169712123048 212140153810 261095573920 339424246096 424280307620 522191147840 678848492192 848560615240 1357696984384 1697121230480 3394242460960 6788484921920