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1325290842450 = 23252171263713709
BaseRepresentation
bin10011010010010001011…
…111010110100101010010
311200200210210112100212200
4103102101133112211102
5133203143423424300
62452455154104030
7164514641202051
oct23222137264522
94620723470780
101325290842450
11471064148483
12194a2527b016
1397c88973483
1448204400398
15247193e8200
hex134917d6952

1325290842450 has 144 divisors (see below), whose sum is σ = 3770636018760. Its totient is φ = 332571432960.

The previous prime is 1325290842439. The next prime is 1325290842451. The reversal of 1325290842450 is 542480925231.

1325290842450 is a `hidden beast` number, since 1 + 3 + 2 + 529 + 0 + 84 + 2 + 45 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 170996309289 + 1154294533161 = 413517^2 + 1074381^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1325290842396 and 1325290842405.

It is not an unprimeable number, because it can be changed into a prime (1325290842451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96666196 + ... + 96679904.

Almost surely, 21325290842450 is an apocalyptic number.

1325290842450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325290842450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885318009380).

1325290842450 is an abundant number, since it is smaller than the sum of its proper divisors (2445345176310).

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

1325290842450 is a wasteful number, since it uses less digits than its factorization.

1325290842450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26381 (or 26373 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1325290842450 in words is "one trillion, three hundred twenty-five billion, two hundred ninety million, eight hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 7650 12637 13709 25274 27418 37911 41127 63185 68545 75822 82254 113733 123381 126370 137090 189555 205635 214829 227466 233053 246762 315925 342725 379110 411270 429658 466106 568665 616905 631850 644487 685450 699159 947775 1028175 1074145 1137330 1165265 1233810 1288974 1398318 1895550 1933461 2056350 2097477 2148290 2330530 2843325 3084525 3222435 3495795 3866922 4194954 5370725 5686650 5826325 6169050 6444870 6991590 9667305 10487385 10741450 11652650 16112175 17478975 19334610 20974770 32224350 34957950 48336525 52436925 96673050 104873850 173240633 346481266 519721899 866203165 1039443798 1559165697 1732406330 2598609495 2945090761 3118331394 4331015825 5197218990 5890181522 7795828485 8662031650 8835272283 12993047475 14725453805 15591656970 17670544566 25986094950 26505816849 29450907610 38979142425 44176361415 53011633698 73627269025 77958284850 88352722830 132529084245 147254538050 220881807075 265058168490 441763614150 662645421225 1325290842450