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1325634801320 = 23573557815053
BaseRepresentation
bin10011010010100101111…
…111011100111010101000
311200201200202202021202002
4103102211333130322220
5133204400002120240
62452553242230132
7164526315615434
oct23224577347250
94621622667662
101325634801320
11471220316905
12194b004b5348
1398011cc2a2b
1448237d779c4
15247396dbd15
hex134a5fdcea8

1325634801320 has 64 divisors (see below), whose sum is σ = 3028968879120. Its totient is φ = 522050586624.

The previous prime is 1325634801241. The next prime is 1325634801401. The reversal of 1325634801320 is 231084365231.

It can be written as a sum of positive squares in 8 ways, for example, as 676279259044 + 649355542276 = 822362^2 + 805826^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218914 + ... + 2033966.

Almost surely, 21325634801320 is an apocalyptic number.

1325634801320 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 1325634801320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514484439560).

1325634801320 is an abundant number, since it is smaller than the sum of its proper divisors (1703334077800).

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

1325634801320 is a wasteful number, since it uses less digits than its factorization.

1325634801320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815694 (or 815690 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 1325634801320 in words is "one trillion, three hundred twenty-five billion, six hundred thirty-four million, eight hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 557 584 730 1114 1460 2228 2785 2920 4456 5570 11140 22280 40661 81322 162644 203305 325288 406610 813220 815053 1626440 1630106 3260212 4075265 6520424 8150530 16301060 32602120 59498869 118997738 237995476 297494345 453984521 475990952 594988690 907969042 1189977380 1815938084 2269922605 2379954760 3631876168 4539845210 9079690420 18159380840 33140870033 66281740066 132563480132 165704350165 265126960264 331408700330 662817400660 1325634801320