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68696107776 = 2836368099
BaseRepresentation
bin111111111110100110…
…110110101100000000
320120022112211212000000
4333332212312230000
52111142200422101
651320352000000
74651232165412
oct777646665400
9216275755000
1068696107776
112715218659a
1211392230000
13662a278baa
1434797a09b2
151bc0e02486
hexffe9b6b00

68696107776 has 126 divisors (see below), whose sum is σ = 205592316300. Its totient is φ = 22898640384.

The previous prime is 68696107771. The next prime is 68696107801. The reversal of 68696107776 is 67770169686.

68696107776 is a `hidden beast` number, since 6 + 8 + 6 + 9 + 610 + 7 + 7 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (68696107771) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2575 + ... + 370673.

It is an arithmetic number, because the mean of its divisors is an integer number (1631685050).

Almost surely, 268696107776 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 68696107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102796158150).

68696107776 is an abundant number, since it is smaller than the sum of its proper divisors (136896208524).

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

68696107776 is an frugal number, since it uses more digits than its factorization.

68696107776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368133 (or 368104 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 68696107776 in words is "sixty-eight billion, six hundred ninety-six million, one hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 11664 15552 20736 23328 31104 46656 62208 93312 186624 368099 736198 1104297 1472396 2208594 2944792 3312891 4417188 5889584 6625782 8834376 9938673 11779168 13251564 17668752 19877346 23558336 26503128 29816019 35337504 39754692 47116672 53006256 59632038 70675008 79509384 89448057 94233344 106012512 119264076 141350016 159018768 178896114 212025024 238528152 268344171 282700032 318037536 357792228 424050048 477056304 536688342 636075072 715584456 848100096 954112608 1073376684 1272150144 1431168912 1908225216 2146753368 2544300288 2862337824 3816450432 4293506736 5724675648 7632900864 8587013472 11449351296 17174026944 22898702592 34348053888 68696107776