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1345253426560 = 2757189332641
BaseRepresentation
bin10011100100110111010…
…110100100010110000000
311202121100000122201011201
4103210313112210112000
5134020034334122220
62510000105350544
7166122430312531
oct23446726442600
94677300581151
101345253426560
1147957854137a
12198876798454
1399b1a67a814
1449179746688
1524ed6c22d0a
hex139375a4580

1345253426560 has 128 divisors (see below), whose sum is σ = 3297945844800. Its totient is φ = 524559974400.

The previous prime is 1345253426527. The next prime is 1345253426599. The reversal of 1345253426560 is 656243525431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1345253426560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877840 + ... + 4210480.

Almost surely, 21345253426560 is an apocalyptic number.

1345253426560 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 1345253426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648972922400).

1345253426560 is an abundant number, since it is smaller than the sum of its proper divisors (1952692418240).

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

1345253426560 is an equidigital number, since it uses as much as digits as its factorization.

1345253426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332820 (or 332808 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 1345253426560 in words is "one trillion, three hundred forty-five billion, two hundred fifty-three million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 89 128 142 160 178 284 320 355 356 445 568 640 710 712 890 1136 1420 1424 1780 2272 2840 2848 3560 4544 5680 5696 6319 7120 9088 11360 11392 12638 14240 22720 25276 28480 31595 45440 50552 56960 63190 101104 126380 202208 252760 332641 404416 505520 665282 808832 1011040 1330564 1663205 2022080 2661128 3326410 4044160 5322256 6652820 10644512 13305640 21289024 23617511 26611280 29605049 42578048 47235022 53222560 59210098 94470044 106445120 118087555 118420196 148025245 188940088 212890240 236175110 236840392 296050490 377880176 472350220 473680784 592100980 755760352 944700440 947361568 1184201960 1511520704 1889400880 1894723136 2101958479 2368403920 3023041408 3778801760 3789446272 4203916958 4736807840 7557603520 8407833916 9473615680 10509792395 15115207040 16815667832 18947231360 21019584790 33631335664 42039169580 67262671328 84078339160 134525342656 168156678320 269050685312 336313356640 672626713280 1345253426560