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34066447168 = 261378752027
BaseRepresentation
bin11111101110100001…
…001011101101000000
310020221011000211012111
4133232201023231000
51024232002302133
623352214105104
72314125010645
oct375641135500
9106834024174
1034066447168
11134a1691a76
12672894b194
13329b9b0160
141912537dcc
15d45b271cd
hex7ee84bb40

34066447168 has 56 divisors (see below), whose sum is σ = 72894557792. Its totient is φ = 15702695424.

The previous prime is 34066447159. The next prime is 34066447213. The reversal of 34066447168 is 86174466043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628771 + ... + 680797.

It is an arithmetic number, because the mean of its divisors is an integer number (1301688532).

Almost surely, 234066447168 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 34066447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36447278896).

34066447168 is an abundant number, since it is smaller than the sum of its proper divisors (38828110624).

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

34066447168 is a wasteful number, since it uses less digits than its factorization.

34066447168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52839 (or 52829 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 34066447168 in words is "thirty-four billion, sixty-six million, four hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 787 832 1574 3148 6296 10231 12592 20462 25184 40924 50368 52027 81848 104054 163696 208108 327392 416216 654784 676351 832432 1352702 1664864 2705404 3329728 5410808 10821616 21643232 40945249 43286464 81890498 163780996 327561992 532288237 655123984 1064576474 1310247968 2129152948 2620495936 4258305896 8516611792 17033223584 34066447168