Search a number
-
+
869195001920 = 265717231994987
BaseRepresentation
bin11001010011000000000…
…11110011000001000000
310002002112200202001002112
430221200003303001000
5103220102410030140
61503145213234452
7116540314420340
oct14514003630100
93062480661075
10869195001920
11305694a118a3
12120557792a28
1363c706b11ab
14300d80b0d20
1517922ddec65
hexca600f3040

869195001920 has 448 divisors, whose sum is σ = 2627151667200. Its totient is φ = 266883268608.

The previous prime is 869195001901. The next prime is 869195001929. The reversal of 869195001920 is 29100591968.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (869195001929) by changing a digit.

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, 174289667 + ... + 174294653.

Almost surely, 2869195001920 is an apocalyptic number.

869195001920 is a gapful number since it is divisible by the number (80) 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 869195001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313575833600).

869195001920 is an abundant number, since it is smaller than the sum of its proper divisors (1757956665280).

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

869195001920 is a wasteful number, since it uses less digits than its factorization.

869195001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5240 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 50.

The spelling of 869195001920 in words is "eight hundred sixty-nine billion, one hundred ninety-five million, one thousand, nine hundred twenty".