Search a number
-
+
1385039020554 = 233717293726189
BaseRepresentation
bin10100001001111010110…
…000100100001000001010
311220102000202021021221000
4110021322300210020022
5140143024442124204
62540140024555430
7202031362266120
oct24117260441012
94812022237830
101385039020554
11494434467a72
121a451a922b76
13a07bb1a0907
144b071661910
15260649a7039
hex1427ac2420a

1385039020554 has 768 divisors, whose sum is σ = 4069989504000. Its totient is φ = 340282736640.

The previous prime is 1385039020543. The next prime is 1385039020567. The reversal of 1385039020554 is 4550209305831.

1385039020554 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 0 + 3 + 90 + 2 + 0 + 554 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15562236142 + ... + 15562236230.

It is an arithmetic number, because the mean of its divisors is an integer number (5299465500).

Almost surely, 21385039020554 is an apocalyptic number.

1385039020554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385039020554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034994752000).

1385039020554 is an abundant number, since it is smaller than the sum of its proper divisors (2684950483446).

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

1385039020554 is a wasteful number, since it uses less digits than its factorization.

1385039020554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1385039020554 in words is "one trillion, three hundred eighty-five billion, thirty-nine million, twenty thousand, five hundred fifty-four".