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71062646868 = 2235731576379
BaseRepresentation
bin100001000101110101…
…0011111000001010100
320210102110220111100000
41002023222133001110
52131014014144433
652351251051300
75063666350323
oct1021352370124
9223373814300
1071062646868
1128157014424
12119328a0b30
13691664a495
143621bd00ba
151cada69113
hex108ba9f054

71062646868 has 144 divisors (see below), whose sum is σ = 190067958080. Its totient is φ = 23210613504.

The previous prime is 71062646839. The next prime is 71062646891. The reversal of 71062646868 is 86864626017.

71062646868 is a `hidden beast` number, since 7 + 1 + 0 + 626 + 4 + 6 + 8 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11136903 + ... + 11143281.

Almost surely, 271062646868 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 71062646868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95033979040).

71062646868 is an abundant number, since it is smaller than the sum of its proper divisors (119005311212).

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

71062646868 is a wasteful number, since it uses less digits than its factorization.

71062646868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6628 (or 6614 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 71062646868 in words is "seventy-one billion, sixty-two million, six hundred forty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 157 162 219 243 292 314 324 438 471 486 628 657 876 942 972 1314 1413 1884 1971 2628 2826 3942 4239 5652 5913 6379 7884 8478 11461 11826 12717 12758 16956 17739 19137 22922 23652 25434 25516 34383 35478 38151 38274 45844 50868 57411 68766 70956 76302 76548 103149 114822 137532 152604 172233 206298 229644 309447 344466 412596 465667 516699 618894 688932 928341 931334 1001503 1033398 1237788 1397001 1550097 1856682 1862668 2003006 2066796 2785023 2794002 3004509 3100194 3713364 4006012 4191003 5570046 5588004 6009018 6200388 8382006 9013527 11140092 12018036 12573009 16764012 18027054 25146018 27040581 36054108 37719027 50292036 54081162 73109719 75438054 81121743 108162324 113157081 146219438 150876108 162243486 219329157 226314162 243365229 292438876 324486972 438658314 452628324 486730458 657987471 877316628 973460916 1315974942 1973962413 2631949884 3947924826 5921887239 7895849652 11843774478 17765661717 23687548956 35531323434 71062646868