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9880573952 = 21119318191
BaseRepresentation
bin10010011001110110…
…11001100000000000
3221111121001011101102
421030323121200000
5130213411331302
64312234553532
7466564331024
oct111473314000
927447034342
109880573952
1142103654a7
121ab8b988a8
13c16034882
1469a356384
153cc66c702
hex24ced9800

9880573952 has 96 divisors (see below), whose sum is σ = 21469593600. Its totient is φ = 4528742400.

The previous prime is 9880573931. The next prime is 9880574027. The reversal of 9880573952 is 2593750889.

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, 1202177 + ... + 1210367.

It is an arithmetic number, because the mean of its divisors is an integer number (223641600).

Almost surely, 29880573952 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 9880573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734796800).

9880573952 is an abundant number, since it is smaller than the sum of its proper divisors (11589019648).

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

9880573952 is a wasteful number, since it uses less digits than its factorization.

9880573952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 56.

The square root of 9880573952 is about 99401.0762114777. The cubic root of 9880573952 is about 2145.8237989985.

The spelling of 9880573952 in words is "nine billion, eight hundred eighty million, five hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 512 589 608 992 1024 1178 1216 1984 2048 2356 2432 3968 4712 4864 7936 8191 9424 9728 15872 16382 18848 19456 31744 32764 37696 38912 63488 65528 75392 131056 150784 155629 253921 262112 301568 311258 507842 524224 603136 622516 1015684 1048448 1206272 1245032 2031368 2096896 2490064 4062736 4193792 4824499 4980128 8125472 8387584 9648998 9960256 16250944 16775168 19297996 19920512 32501888 38595992 39841024 65003776 77191984 79682048 130007552 154383968 159364096 260015104 308767936 318728192 520030208 617535872 1235071744 2470143488 4940286976 9880573952