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9820457680 = 2451111159611
BaseRepresentation
bin10010010010101100…
…00100101011010000
3221100101220221100211
421021112010223100
5130103014121210
64302250253504
7465234340645
oct111126045320
927311827324
109820457680
11418a435230
121aa0a27294
13c06746a07
14692387dcc
153c724538a
hex249584ad0

9820457680 has 40 divisors (see below), whose sum is σ = 24908253984. Its totient is φ = 3571075200.

The previous prime is 9820457663. The next prime is 9820457693. The reversal of 9820457680 is 867540289.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5578926 + ... + 5580685.

Almost surely, 29820457680 is an apocalyptic number.

It is an amenable number.

9820457680 is an abundant number, since it is smaller than the sum of its proper divisors (15087796304).

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

9820457680 is a wasteful number, since it uses less digits than its factorization.

9820457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159635 (or 11159629 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 9820457680 is about 99098.2223856715. Note that the first 3 decimals coincide. The cubic root of 9820457680 is about 2141.4630051826.

The spelling of 9820457680 in words is "nine billion, eight hundred twenty million, four hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11159611 22319222 44638444 55798055 89276888 111596110 122755721 178553776 223192220 245511442 446384440 491022884 613778605 892768880 982045768 1227557210 1964091536 2455114420 4910228840 9820457680