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1352613146320 = 24516907664329
BaseRepresentation
bin10011101011101110000…
…001101010111011010000
311210022022221021012201001
4103223232001222323100
5134130122431140240
62513214253551344
7166503005020462
oct23535601527320
94708287235631
101352613146320
114817049497a7
1219a18b4a5554
139a721360a97
1449676d80132
15252b7de589a
hex13aee06aed0

1352613146320 has 20 divisors (see below), whose sum is σ = 3144825565380. Its totient is φ = 541045258496.

The previous prime is 1352613146293. The next prime is 1352613146351. The reversal of 1352613146320 is 236413162531.

It can be written as a sum of positive squares in 2 ways, for example, as 343480389184 + 1009132757136 = 586072^2 + 1004556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 1352613146320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8453832085 + ... + 8453832244.

It is an arithmetic number, because the mean of its divisors is an integer number (157241278269).

Almost surely, 21352613146320 is an apocalyptic number.

1352613146320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352613146320 is an abundant number, since it is smaller than the sum of its proper divisors (1792212419060).

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

1352613146320 is a wasteful number, since it uses less digits than its factorization.

1352613146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16907664342 (or 16907664336 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 1352613146320 in words is "one trillion, three hundred fifty-two billion, six hundred thirteen million, one hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16907664329 33815328658 67630657316 84538321645 135261314632 169076643290 270522629264 338153286580 676306573160 1352613146320