Search a number
-
+
869487429888 = 28337112148517
BaseRepresentation
bin11001010011100010111…
…11010100100100000000
310002010022001222220212000
430221301133110210000
5103221202240224023
61503234221104000
7116550465132120
oct14516137244400
93063261886760
10869487429888
11305824a94300
121206196b8000
1363cb915a5ac
1430124c72c80
151793d905243
hexca717d4900

869487429888 has 432 divisors, whose sum is σ = 3229993226880. Its totient is φ = 225839370240.

The previous prime is 869487429887. The next prime is 869487429907. The reversal of 869487429888 is 888924784968.

869487429888 is a `hidden beast` number, since 8 + 6 + 9 + 487 + 42 + 98 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (869487429883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5780206 + ... + 5928722.

Almost surely, 2869487429888 is an apocalyptic number.

869487429888 is a gapful number since it is divisible by the number (88) 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 869487429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614996613440).

869487429888 is an abundant number, since it is smaller than the sum of its proper divisors (2360505796992).

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

869487429888 is a wasteful number, since it uses less digits than its factorization.

869487429888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148571 (or 148540 counting only the distinct ones).

The product of its digits is 3567255552, while the sum is 81.

The spelling of 869487429888 in words is "eight hundred sixty-nine billion, four hundred eighty-seven million, four hundred twenty-nine thousand, eight hundred eighty-eight".