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69812066808 = 233711362743
BaseRepresentation
bin100000100000100011…
…1111001100111111000
320200012022201110000000
41001001013321213320
52120433342114213
652023214513000
75021002530321
oct1010107714770
9220168643000
1069812066808
1127675101090
1211643b05760
136777526893
143543a95448
151c38d8bc73
hex10411f99f8

69812066808 has 128 divisors (see below), whose sum is σ = 214164057600. Its totient is φ = 21155113440.

The previous prime is 69812066801. The next prime is 69812066809. The reversal of 69812066808 is 80866021896.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69812066801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11085 + ... + 373827.

It is an arithmetic number, because the mean of its divisors is an integer number (1673156700).

Almost surely, 269812066808 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 69812066808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107082028800).

69812066808 is an abundant number, since it is smaller than the sum of its proper divisors (144351990792).

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

69812066808 is a wasteful number, since it uses less digits than its factorization.

69812066808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362781 (or 362759 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 69812066808 in words is "sixty-nine billion, eight hundred twelve million, sixty-six thousand, eight hundred eight".

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 2187 2376 2673 2916 3564 4374 5346 5832 7128 8019 8748 10692 16038 17496 21384 24057 32076 48114 64152 96228 192456 362743 725486 1088229 1450972 2176458 2901944 3264687 3990173 4352916 6529374 7980346 8705832 9794061 11970519 13058748 15960692 19588122 23941038 26117496 29382183 31921384 35911557 39176244 47882076 58764366 71823114 78352488 88146549 95764152 107734671 117528732 143646228 176293098 215469342 235057464 264439647 287292456 323204013 352586196 430938684 528879294 646408026 705172392 793318941 861877368 969612039 1057758588 1292816052 1586637882 1939224078 2115517176 2585632104 2908836117 3173275764 3878448156 5817672234 6346551528 7756896312 8726508351 11635344468 17453016702 23270688936 34906033404 69812066808