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9982476640 = 255414732377
BaseRepresentation
bin10010100110000000…
…01000000101100000
3221202200210100121001
421103000020011200
5130421003223030
64330315041344
7502242436303
oct112300100540
927680710531
109982476640
1142629364a4
121b27140254
13c31193416
146a9ac0b3a
153d659acca
hex253008160

9982476640 has 96 divisors (see below), whose sum is σ = 24673590144. Its totient is φ = 3812597760.

The previous prime is 9982476631. The next prime is 9982476683. The reversal of 9982476640 is 466742899.

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 15 ways as a sum of consecutive naturals, for example, 292132 + ... + 324508.

It is an arithmetic number, because the mean of its divisors is an integer number (257016564).

Almost surely, 29982476640 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 9982476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12336795072).

9982476640 is an abundant number, since it is smaller than the sum of its proper divisors (14691113504).

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

9982476640 is a wasteful number, since it uses less digits than its factorization.

9982476640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32480 (or 32472 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The square root of 9982476640 is about 99912.3447828145. The cubic root of 9982476640 is about 2153.1755230950.

The spelling of 9982476640 in words is "nine billion, nine hundred eighty-two million, four hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 47 80 82 94 160 164 188 205 235 328 376 410 470 656 752 820 940 1312 1504 1640 1880 1927 3280 3760 3854 6560 7520 7708 9635 15416 19270 30832 32377 38540 61664 64754 77080 129508 154160 161885 259016 308320 323770 518032 647540 1036064 1295080 1327457 1521719 2590160 2654914 3043438 5180320 5309828 6086876 6637285 7608595 10619656 12173752 13274570 15217190 21239312 24347504 26549140 30434380 42478624 48695008 53098280 60868760 62390479 106196560 121737520 124780958 212393120 243475040 249561916 311952395 499123832 623904790 998247664 1247809580 1996495328 2495619160 4991238320 9982476640