Search a number
-
+
380699850960 = 2434511213417
BaseRepresentation
bin1011000101000110111…
…10101011100011010000
31100101122121221012210000
411202203132223203100
522214133130212320
6450520251010000
736335045224632
oct5424336534320
91311577835700
10380699850960
111374aa160800
1261947739900
1329b90c50000
14145d6c16a52
159d82320c90
hex58a37ab8d0

380699850960 has 1500 divisors, whose sum is σ = 1667081401524. Its totient is φ = 80180305920.

The previous prime is 380699850931. The next prime is 380699850983. The reversal of 380699850960 is 69058996083.

380699850960 is a `hidden beast` number, since 3 + 8 + 0 + 69 + 9 + 8 + 509 + 60 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 378210240144 + 2489610816 = 614988^2 + 49896^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 22394108872 + ... + 22394108888.

Almost surely, 2380699850960 is an apocalyptic number.

380699850960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380699850960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833540700762).

380699850960 is an abundant number, since it is smaller than the sum of its proper divisors (1286381550564).

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

380699850960 is a wasteful number, since it uses less digits than its factorization.

380699850960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 380699850960 in words is "three hundred eighty billion, six hundred ninety-nine million, eight hundred fifty thousand, nine hundred sixty".