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21474882000 = 2436531113103
BaseRepresentation
bin10100000000000000…
…001011000111010000
32001102121210001000000
4110000000023013100
5322440032211000
613510533130000
71360111325265
oct240000130720
961377701000
1021474882000
119120013770
1241b3a89900
132043114090
14107a12b26c
1585a4a3000
hex50000b1d0

21474882000 has 1120 divisors, whose sum is σ = 92352589056. Its totient is φ = 4758912000.

The previous prime is 21474881977. The next prime is 21474882019. The reversal of 21474882000 is 28847412.

It is a super-2 number, since 2×214748820002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 208493949 + ... + 208494051.

Almost surely, 221474882000 is an apocalyptic number.

21474882000 is a gapful number since it is divisible by the number (20) 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 21474882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46176294528).

21474882000 is an abundant number, since it is smaller than the sum of its proper divisors (70877707056).

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

21474882000 is a wasteful number, since it uses less digits than its factorization.

21474882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 21474882000 in words is "twenty-one billion, four hundred seventy-four million, eight hundred eighty-two thousand".