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85948105720 = 23519131123211
BaseRepresentation
bin101000000001011101…
…0000000001111111000
322012211212112011002211
41100002322000033320
52402010203340340
6103252314104504
76131605562461
oct1200272001770
9265755464084
1085948105720
11334a5512a34
12147a7a1b134
1381495311b9
144234b19d68
1523807a55ea
hex1402e803f8

85948105720 has 32 divisors (see below), whose sum is σ = 193484499120. Its totient is φ = 34361240320.

The previous prime is 85948105697. The next prime is 85948105741. The reversal of 85948105720 is 2750184958.

It is a happy number.

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, 485086 + ... + 638125.

Almost surely, 285948105720 is an apocalyptic number.

It is an amenable number.

85948105720 is an abundant number, since it is smaller than the sum of its proper divisors (107536393400).

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

85948105720 is a wasteful number, since it uses less digits than its factorization.

85948105720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125135 (or 1125131 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 85948105720 in words is "eighty-five billion, nine hundred forty-eight million, one hundred five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1913 3826 7652 9565 15304 19130 38260 76520 1123211 2246422 4492844 5616055 8985688 11232110 22464220 44928440 2148702643 4297405286 8594810572 10743513215 17189621144 21487026430 42974052860 85948105720