Search a number
-
+
1385077444608 = 212311133147541
BaseRepresentation
bin10100001001111101000…
…011001001000000000000
311220102010102120102211010
4110021331003021000000
5140143114311211413
62540143520320520
7202032340011444
oct24117503110000
94812112512733
101385077444608
11494454121590
121a452b773140
13a07c6135040
144b0767c4824
1526068046dc3
hex1427d0c9000

1385077444608 has 832 divisors, whose sum is σ = 4582439092224. Its totient is φ = 366280704000.

The previous prime is 1385077444589. The next prime is 1385077444657. The reversal of 1385077444608 is 8064447705831.

It is a tau number, because it is divible by the number of its divisors (832).

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 63 ways as a sum of consecutive naturals, for example, 2560216818 + ... + 2560217358.

Almost surely, 21385077444608 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 1385077444608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291219546112).

1385077444608 is an abundant number, since it is smaller than the sum of its proper divisors (3197361647616).

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

1385077444608 is a wasteful number, since it uses less digits than its factorization.

1385077444608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 57.

The spelling of 1385077444608 in words is "one trillion, three hundred eighty-five billion, seventy-seven million, four hundred forty-four thousand, six hundred eight".