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6873379640 = 235475961967
BaseRepresentation
bin1100110011010111…
…10111001100111000
3122202000110212022022
412121223313030320
5103034041122030
63054012214012
7332220522461
oct63153671470
918660425268
106873379640
112a07930946
1213b9a6a308
1385700185a
14492bd9d68
152a3656de5
hex199af7338

6873379640 has 64 divisors (see below), whose sum is σ = 16062105600. Its totient is φ = 2645204608.

The previous prime is 6873379609. The next prime is 6873379673. The reversal of 6873379640 is 469733786.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79937 + ... + 141903.

It is an arithmetic number, because the mean of its divisors is an integer number (250970400).

Almost surely, 26873379640 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 6873379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031052800).

6873379640 is an abundant number, since it is smaller than the sum of its proper divisors (9188725960).

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

6873379640 is a wasteful number, since it uses less digits than its factorization.

6873379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62084 (or 62080 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The square root of 6873379640 is about 82905.8480446343. The cubic root of 6873379640 is about 1901.3268331388.

The spelling of 6873379640 in words is "six billion, eight hundred seventy-three million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 59 94 118 188 235 236 295 376 470 472 590 940 1180 1880 2360 2773 5546 11092 13865 22184 27730 55460 61967 110920 123934 247868 309835 495736 619670 1239340 2478680 2912449 3656053 5824898 7312106 11649796 14562245 14624212 18280265 23299592 29124490 29248424 36560530 58248980 73121060 116497960 146242120 171834491 343668982 687337964 859172455 1374675928 1718344910 3436689820 6873379640