Search a number
-
+
9985805040 = 2435333112491
BaseRepresentation
bin10010100110011001…
…10100101011110000
3221202221001110022010
421103030310223300
5130422331230130
64330514242520
7502312641141
oct112314645360
927687043263
109985805040
1142647aa142
121b28286440
13c31a8a3a3
146aa309ac8
153d6a070b0
hex253334af0

9985805040 has 80 divisors (see below), whose sum is σ = 30967767936. Its totient is φ = 2661868800.

The previous prime is 9985805023. The next prime is 9985805069. The reversal of 9985805040 is 405085899.

It is a happy number.

It is a Cunningham number, because it is equal to 999292-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793195 + ... + 805685.

Almost surely, 29985805040 is an apocalyptic number.

It is an amenable number.

9985805040 is an abundant number, since it is smaller than the sum of its proper divisors (20981962896).

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

9985805040 is a wasteful number, since it uses less digits than its factorization.

9985805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15838 (or 15832 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 9985805040 is about 99928.9999949964. Note that the first 5 decimals coincide. The cubic root of 9985805040 is about 2153.4148034963.

The spelling of 9985805040 in words is "nine billion, nine hundred eighty-five million, eight hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3331 6662 9993 12491 13324 16655 19986 24982 26648 33310 37473 39972 49964 49965 53296 62455 66620 74946 79944 99928 99930 124910 133240 149892 159888 187365 199856 199860 249820 266480 299784 374730 399720 499640 599568 749460 799440 999280 1498920 2997840 41607521 83215042 124822563 166430084 208037605 249645126 332860168 416075210 499290252 624112815 665720336 832150420 998580504 1248225630 1664300840 1997161008 2496451260 3328601680 4992902520 9985805040