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1388066964368 = 2472172293131453
BaseRepresentation
bin10100001100101111001…
…111010000001110010000
311220200211202212202222012
4110030233033100032100
5140220230120324433
62541400312202052
7202166410344500
oct24145717201620
94820752782865
101388066964368
11495748683a77
121a5024999328
13a0b815ba246
144b27b85da00
152619071a848
hex1432f3d0390

1388066964368 has 240 divisors, whose sum is σ = 3339880631280. Its totient is φ = 555284201472.

The previous prime is 1388066964367. The next prime is 1388066964373. The reversal of 1388066964368 is 8634696608831.

It can be written as a sum of positive squares in 8 ways, for example, as 180635200144 + 1207431764224 = 425012^2 + 1098832^2 .

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 1388066964298 and 1388066964307.

It is not an unprimeable number, because it can be changed into a prime (1388066964367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955310330 + ... + 955311782.

It is an arithmetic number, because the mean of its divisors is an integer number (13916169297).

Almost surely, 21388066964368 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 1388066964368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669940315640).

1388066964368 is an abundant number, since it is smaller than the sum of its proper divisors (1951813666912).

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

1388066964368 is a wasteful number, since it uses less digits than its factorization.

1388066964368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 68.

The spelling of 1388066964368 in words is "one trillion, three hundred eighty-eight billion, sixty-six million, nine hundred sixty-four thousand, three hundred sixty-eight".