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7925860096 = 2871133323
BaseRepresentation
bin1110110000110101…
…10000011100000000
3202110100220102001221
413120122300130000
5112213010010341
63350250404424
7400260461560
oct73032603400
922410812057
107925860096
1133a7a3a000
121652430714
1399408515b
145528c8da0
15315c52ed1
hex1d86b0700

7925860096 has 144 divisors (see below), whose sum is σ = 19893581568. Its totient is φ = 3087068160.

The previous prime is 7925860043. The next prime is 7925860121. The reversal of 7925860096 is 6900685297.

It is a happy number.

It is a super-2 number, since 2×79258600962 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2383491 + ... + 2386813.

It is an arithmetic number, because the mean of its divisors is an integer number (138149872).

Almost surely, 27925860096 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 7925860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946790784).

7925860096 is an abundant number, since it is smaller than the sum of its proper divisors (11967721472).

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

7925860096 is an equidigital number, since it uses as much as digits as its factorization.

7925860096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The square root of 7925860096 is about 89027.2997231748. The cubic root of 7925860096 is about 1993.8024899379.

The spelling of 7925860096 in words is "seven billion, nine hundred twenty-five million, eight hundred sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 704 847 896 968 1232 1331 1408 1694 1792 1936 2464 2662 2816 3323 3388 3872 4928 5324 6646 6776 7744 9317 9856 10648 13292 13552 15488 18634 19712 21296 23261 26584 27104 30976 36553 37268 42592 46522 53168 54208 73106 74536 85184 93044 106336 108416 146212 149072 170368 186088 212672 216832 255871 292424 298144 340736 372176 402083 425344 511742 584848 596288 744352 804166 850688 1023484 1169696 1192576 1488704 1608332 2046968 2339392 2385152 2814581 2977408 3216664 4093936 4422913 4678784 5629162 5954816 6433328 8187872 8845826 9357568 11258324 12866656 16375744 17691652 22516648 25733312 30960391 32751488 35383304 45033296 51466624 61920782 65502976 70766608 90066592 102933248 123841564 141533216 180133184 247683128 283066432 360266368 495366256 566132864 720532736 990732512 1132265728 1981465024 3962930048 7925860096