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63768820104 = 233611994027
BaseRepresentation
bin111011011000111010…
…101111100110001000
320002121011021201000000
4323120322233212020
52021044304220404
645143415043000
74415152012263
oct733072574610
9202534251000
1063768820104
1125053922420
1210438070460
1360234c8562
14312d229cda
1519d3560339
hexed8eaf988

63768820104 has 112 divisors (see below), whose sum is σ = 195565068720. Its totient is φ = 19323865440.

The previous prime is 63768820097. The next prime is 63768820109. The reversal of 63768820104 is 40102886736.

63768820104 is a `hidden beast` number, since 637 + 6 + 8 + 8 + 2 + 0 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 63768820104.

It is not an unprimeable number, because it can be changed into a prime (63768820109) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 432862 + ... + 561165.

It is an arithmetic number, because the mean of its divisors is an integer number (1746116685).

Almost surely, 263768820104 is an apocalyptic number.

It is an amenable number.

63768820104 is an abundant number, since it is smaller than the sum of its proper divisors (131796248616).

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

63768820104 is a wasteful number, since it uses less digits than its factorization.

63768820104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994062 (or 994043 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 63768820104 in words is "sixty-three billion, seven hundred sixty-eight million, eight hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2376 2673 2916 3564 5346 5832 7128 8019 10692 16038 21384 32076 64152 994027 1988054 2982081 3976108 5964162 7952216 8946243 10934297 11928324 17892486 21868594 23856648 26838729 32802891 35784972 43737188 53677458 65605782 71569944 80516187 87474376 98408673 107354916 131211564 161032374 196817346 214709832 241548561 262423128 295226019 322064748 393634692 483097122 590452038 644129496 724645683 787269384 885678057 966194244 1180904076 1449291366 1771356114 1932388488 2361808152 2657034171 2898582732 3542712228 5314068342 5797165464 7085424456 7971102513 10628136684 15942205026 21256273368 31884410052 63768820104