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71002685448 = 233231210132
BaseRepresentation
bin100001000100000010…
…1110000000000001000
320210021022002010201200
41002020011300000020
52130403141413243
652341305544200
75062340603562
oct1021005600010
9223238063650
1071002685448
112812618a532
12119167a5060
1369070b4c56
143617c62332
151ca8672ad3
hex1088170008

71002685448 has 108 divisors (see below), whose sum is σ = 198898580205. Its totient is φ = 22881481920.

The previous prime is 71002685447. The next prime is 71002685491. The reversal of 71002685448 is 84458620017.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

71002685448 is a `hidden beast` number, since 7 + 100 + 26 + 85 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38652346404 + 32350339044 = 196602^2 + 179862^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=188418.

It is not an unprimeable number, because it can be changed into a prime (71002685443) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70090990 + ... + 70092002.

Almost surely, 271002685448 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 71002685448

71002685448 is an abundant number, since it is smaller than the sum of its proper divisors (127895894757).

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

71002685448 is a wasteful number, since it uses less digits than its factorization.

71002685448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 71002685448 in words is "seventy-one billion, two million, six hundred eighty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1013 1116 1922 2026 2232 2883 3039 3844 4052 5766 6078 7688 8104 8649 9117 11532 12156 17298 18234 23064 24312 31403 34596 36468 62806 69192 72936 94209 125612 188418 251224 282627 376836 565254 753672 973493 1026169 1130508 1946986 2052338 2261016 2920479 3078507 3893972 4104676 5840958 6157014 7787944 8209352 8761437 9235521 11681916 12314028 17522874 18471042 23363832 24628056 31811239 35045748 36942084 63622478 70091496 73884168 95433717 127244956 190867434 254489912 286301151 381734868 572602302 763469736 986148409 1145204604 1972296818 2290409208 2958445227 3944593636 5916890454 7889187272 8875335681 11833780908 17750671362 23667561816 35501342724 71002685448