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1325267682144 = 25371972124527
BaseRepresentation
bin10011010010010000000…
…111000000001101100000
311200200202011221200220120
4103102100013000031200
5133203122011312034
62452453005440240
7164514240301230
oct23222007001540
94620664850816
101325267682144
1147105206982a
12194a19570080
1397c83c24753
14482012d1cc0
1524717370c49
hex134901c0360

1325267682144 has 48 divisors (see below), whose sum is σ = 3975803048448. Its totient is φ = 378647908992.

The previous prime is 1325267682107. The next prime is 1325267682163. The reversal of 1325267682144 is 4412867625231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986061592 + ... + 986062935.

It is an arithmetic number, because the mean of its divisors is an integer number (82829230176).

Almost surely, 21325267682144 is an apocalyptic number.

1325267682144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1325267682144 is an abundant number, since it is smaller than the sum of its proper divisors (2650535366304).

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

1325267682144 is a wasteful number, since it uses less digits than its factorization.

1325267682144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972124547 (or 1972124539 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 1325267682144 in words is "one trillion, three hundred twenty-five billion, two hundred sixty-seven million, six hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1972124527 3944249054 5916373581 7888498108 11832747162 13804871689 15776996216 23665494324 27609743378 31553992432 41414615067 47330988648 55219486756 63107984864 82829230134 94661977296 110438973512 165658460268 189323954592 220877947024 331316920536 441755894048 662633841072 1325267682144