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6992560484 = 2272134615953
BaseRepresentation
bin1101000001100101…
…00000000101100100
3200001022201212200122
412200302200011210
5103310043413414
63113510501112
7335165532500
oct64062400544
920038655618
106992560484
112a69133208
121431964798
138758cc970
144a4981300
152add49b8e
hex1a0ca0164

6992560484 has 72 divisors (see below), whose sum is σ = 15365678328. Its totient is φ = 2759823360.

The previous prime is 6992560469. The next prime is 6992560493. The reversal of 6992560484 is 4840652996.

It can be written as a sum of positive squares in 4 ways, for example, as 399120484 + 6593440000 = 19978^2 + 81200^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171652 + ... + 1177604.

It is an arithmetic number, because the mean of its divisors is an integer number (213412199).

Almost surely, 26992560484 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 6992560484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7682839164).

6992560484 is an abundant number, since it is smaller than the sum of its proper divisors (8373117844).

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

6992560484 is a wasteful number, since it uses less digits than its factorization.

6992560484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6445 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The square root of 6992560484 is about 83621.5312225267. The cubic root of 6992560484 is about 1912.2532624518.

The spelling of 6992560484 in words is "six billion, nine hundred ninety-two million, five hundred sixty thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 461 637 922 1274 1844 2548 3227 5953 5993 6454 11906 11986 12908 22589 23812 23972 41671 41951 45178 77389 83342 83902 90356 154778 166684 167804 291697 293657 309556 541723 583394 587314 1083446 1166788 1174628 2166892 2744333 3792061 5488666 7584122 10977332 15168244 19210331 35676329 38420662 71352658 76841324 134472317 142705316 249734303 268944634 499468606 537889268 998937212 1748140121 3496280242 6992560484