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1325567756420 = 225293989572941
BaseRepresentation
bin10011010010100001111…
…111101100100010000100
311200201112002121001102122
4103102201333230202010
5133204230321201140
62452542445225112
7164524543010315
oct23224177544204
94621462531378
101325567756420
11471196493aa6
12194aa1b62198
139800114a2ab
144822d0c460c
1524733896ab5
hex134a1fec884

1325567756420 has 48 divisors (see below), whose sum is σ = 2880408610800. Its totient is φ = 511814177280.

The previous prime is 1325567756413. The next prime is 1325567756501. The reversal of 1325567756420 is 246577655231.

It can be written as a sum of positive squares in 8 ways, for example, as 80040331396 + 1245527425024 = 282914^2 + 1116032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2027150 + ... + 2600090.

It is an arithmetic number, because the mean of its divisors is an integer number (60008512725).

Almost surely, 21325567756420 is an apocalyptic number.

1325567756420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1325567756420 is an abundant number, since it is smaller than the sum of its proper divisors (1554840854380).

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

1325567756420 is a wasteful number, since it uses less digits than its factorization.

1325567756420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576968 (or 576966 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 53.

The spelling of 1325567756420 in words is "one trillion, three hundred twenty-five billion, five hundred sixty-seven million, seven hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3989 7978 15956 19945 39890 79780 115681 231362 462724 572941 578405 1145882 1156810 2291764 2313620 2864705 5729410 11458820 16615289 33230578 66461156 83076445 166152890 332305780 2285461649 4570923298 9141846596 11427308245 22854616490 45709232980 66278387821 132556775642 265113551284 331391939105 662783878210 1325567756420