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1028455421640 = 233567239535219
BaseRepresentation
bin11101111011101001011…
…10000101011011001000
310122022121211022121200020
432331310232011123020
5113322234041443030
62104244344540440
7134206040562663
oct16756456053310
93568554277606
101028455421640
11367190301389
121473a3781720
1375ca1660c3a
1437ac56a66da
151bb4498c510
hexef74b856c8

1028455421640 has 128 divisors (see below), whose sum is σ = 3144524544000. Its totient is φ = 269030539008.

The previous prime is 1028455421551. The next prime is 1028455421683. The reversal of 1028455421640 is 461245548201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1028455421592 and 1028455421601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653951 + ... + 2189169.

It is an arithmetic number, because the mean of its divisors is an integer number (24566598000).

Almost surely, 21028455421640 is an apocalyptic number.

1028455421640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028455421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572262272000).

1028455421640 is an abundant number, since it is smaller than the sum of its proper divisors (2116069122360).

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

1028455421640 is a wasteful number, since it uses less digits than its factorization.

1028455421640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535539 (or 535535 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 1028455421640 in words is "one trillion, twenty-eight billion, four hundred fifty-five million, four hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 239 268 335 402 478 536 670 717 804 956 1005 1195 1340 1434 1608 1912 2010 2390 2680 2868 3585 4020 4780 5736 7170 8040 9560 14340 16013 28680 32026 48039 64052 80065 96078 128104 160130 192156 240195 320260 384312 480390 535219 640520 960780 1070438 1605657 1921560 2140876 2676095 3211314 4281752 5352190 6422628 8028285 10704380 12845256 16056570 21408760 32113140 35859673 64226280 71719346 107579019 127917341 143438692 179298365 215158038 255834682 286877384 358596730 383752023 430316076 511669364 537895095 639586705 717193460 767504046 860632152 1023338728 1075790190 1279173410 1434386920 1535008092 1918760115 2151580380 2558346820 3070016184 3837520230 4303160760 5116693640 7675040460 8570461847 15350080920 17140923694 25711385541 34281847388 42852309235 51422771082 68563694776 85704618470 102845542164 128556927705 171409236940 205691084328 257113855410 342818473880 514227710820 1028455421640