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71006105208 = 233191792932969
BaseRepresentation
bin100001000100001001…
…0110010111001111000
320210021112111212202110
41002020102302321320
52130410030331313
652341511132320
75062411635663
oct1021022627170
9223245455673
1071006105208
1128128105885
12119179740a0
136907a1168c
1436184b26da
151ca8aeaec3
hex10884b2e78

71006105208 has 128 divisors (see below), whose sum is σ = 188606880000. Its totient is φ = 22214126592.

The previous prime is 71006105197. The next prime is 71006105221. The reversal of 71006105208 is 80250160017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23914348 + ... + 23917316.

It is an arithmetic number, because the mean of its divisors is an integer number (1473491250).

Almost surely, 271006105208 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 71006105208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303440000).

71006105208 is an abundant number, since it is smaller than the sum of its proper divisors (117600774792).

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

71006105208 is a wasteful number, since it uses less digits than its factorization.

71006105208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 71006105208 in words is "seventy-one billion, six million, one hundred five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 179 228 293 358 456 537 586 716 879 1074 1172 1432 1758 2148 2344 2969 3401 3516 4296 5567 5938 6802 7032 8907 10203 11134 11876 13604 16701 17814 20406 22268 23752 27208 33402 35628 40812 44536 52447 56411 66804 71256 81624 104894 112822 133608 157341 169233 209788 225644 314682 338466 419576 451288 531451 629364 676932 869917 996493 1062902 1258728 1353864 1594353 1739834 1992986 2125804 2609751 2989479 3188706 3479668 3985972 4251608 5219502 5978958 6377412 6959336 7971944 10097569 10439004 11957916 12754824 16528423 20195138 20878008 23915832 30292707 33056846 40390276 49585269 60585414 66113692 80780552 99170538 121170828 132227384 155715143 198341076 242341656 311430286 396682152 467145429 622860572 934290858 1245721144 1868581716 2958587717 3737163432 5917175434 8875763151 11834350868 17751526302 23668701736 35503052604 71006105208