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2121380704 = 25198274219
BaseRepresentation
bin111111001110001…
…1011001101100000
312110211202022020201
41332130123031200
513321033140304
6550300314544
7103366303252
oct17634331540
95424668221
102121380704
119995117a3
124b2542a54
1327a665871
14161a53cd2
15c638c3a4
hex7e71b360

2121380704 has 48 divisors (see below), whose sum is σ = 4402641600. Its totient is φ = 1003411584.

The previous prime is 2121380693. The next prime is 2121380719. The reversal of 2121380704 is 4070831212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 500707 + ... + 504925.

It is an arithmetic number, because the mean of its divisors is an integer number (91721700).

Almost surely, 22121380704 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 2121380704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201320800).

2121380704 is an abundant number, since it is smaller than the sum of its proper divisors (2281260896).

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

2121380704 is a wasteful number, since it uses less digits than its factorization.

2121380704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2121380704 is about 46058.4487797841. The cubic root of 2121380704 is about 1284.9104802208.

The spelling of 2121380704 in words is "two billion, one hundred twenty-one million, three hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 827 1654 3308 4219 6616 8438 13232 15713 16876 26464 31426 33752 62852 67504 80161 125704 135008 160322 251408 320644 502816 641288 1282576 2565152 3489113 6978226 13956452 27912904 55825808 66293147 111651616 132586294 265172588 530345176 1060690352 2121380704