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21235411008 = 2634717291187
BaseRepresentation
bin10011110001101110…
…101010100001000000
32000210221011122120000
4103301232222201000
5321442231123013
613431100320000
71351143005160
oct236156524100
960727148500
1021235411008
119007921659
124147843000
132005619c76
1410563d25a0
1584444d973
hex4f1baa840

21235411008 has 560 divisors, whose sum is σ = 78865902720. Its totient is φ = 5508808704.

The previous prime is 21235411007. The next prime is 21235411019. The reversal of 21235411008 is 80011453212.

21235411008 is a `hidden beast` number, since 2 + 12 + 3 + 541 + 100 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21235411007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17889391 + ... + 17890577.

Almost surely, 221235411008 is an apocalyptic number.

21235411008 is a gapful number since it is divisible by the number (28) 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 21235411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432951360).

21235411008 is an abundant number, since it is smaller than the sum of its proper divisors (57630491712).

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

21235411008 is a wasteful number, since it uses less digits than its factorization.

21235411008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21235411008 in words is "twenty-one billion, two hundred thirty-five million, four hundred eleven thousand, eight".