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1380746648512 = 267115913136251
BaseRepresentation
bin10100000101111010111…
…010011101101111000000
311212222221121102012102201
4110011322322131233000
5140110232120223022
62534150052322544
7201520121602660
oct24057272355700
94788847365381
101380746648512
1149263153a360
121a3721313454
13a0285b223ba
144ab855621a0
1525db2c2d127
hex1417ae9dbc0

1380746648512 has 224 divisors, whose sum is σ = 3500516321280. Its totient is φ = 524784000000.

The previous prime is 1380746648509. The next prime is 1380746648531. The reversal of 1380746648512 is 2158466470831.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13807466485122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38070387 + ... + 38106637.

Almost surely, 21380746648512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380746648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750258160640).

1380746648512 is an abundant number, since it is smaller than the sum of its proper divisors (2119769672768).

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

1380746648512 is a wasteful number, since it uses less digits than its factorization.

1380746648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36471 (or 36461 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 1380746648512 in words is "one trillion, three hundred eighty billion, seven hundred forty-six million, six hundred forty-eight thousand, five hundred twelve".