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4165053696 = 2834200861
BaseRepresentation
bin1111100001000001…
…1010110100000000
3101202021021122120000
43320100122310000
532012223204241
61525143320000
7205133241456
oct37020326400
911667248500
104165053696
111848078541
12982a50000
13514b9151b
142b723a9d6
151959c9eb6
hexf841ad00

4165053696 has 90 divisors (see below), whose sum is σ = 12419498322. Its totient is φ = 1388344320.

The previous prime is 4165053691. The next prime is 4165053713. The reversal of 4165053696 is 6963505614.

It can be written as a sum of positive squares in only one way, i.e., 3485721600 + 679332096 = 59040^2 + 26064^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165053691) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79695 + ... + 121166.

Almost surely, 24165053696 is an apocalyptic number.

It is an amenable number.

4165053696 is an abundant number, since it is smaller than the sum of its proper divisors (8254444626).

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

4165053696 is an equidigital number, since it uses as much as digits as its factorization.

4165053696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200889 (or 200866 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4165053696 is about 64537.2272103474. The cubic root of 4165053696 is about 1608.9413067360.

The spelling of 4165053696 in words is "four billion, one hundred sixty-five million, fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 200861 401722 602583 803444 1205166 1606888 1807749 2410332 3213776 3615498 4820664 5423247 6427552 7230996 9641328 10846494 12855104 14461992 16269741 19282656 21692988 25710208 28923984 32539482 38565312 43385976 51420416 57847968 65078964 77130624 86771952 115695936 130157928 154261248 173543904 231391872 260315856 347087808 462783744 520631712 694175616 1041263424 1388351232 2082526848 4165053696