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21783272448 = 210373141797
BaseRepresentation
bin10100010010011000…
…100101110000000000
32002020010001220011110
4110102120211300000
5324103004204243
614001311043320
71400544521640
oct242230456000
962203056143
1021783272448
1192690a9003
12427b210540
132091c8bc32
1410a9086520
158775bce33
hex512625c00

21783272448 has 352 divisors, whose sum is σ = 70253826048. Its totient is φ = 5868748800.

The previous prime is 21783272429. The next prime is 21783272449. The reversal of 21783272448 is 84427238712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 21783272397 and 21783272406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21783272449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27331186 + ... + 27331982.

Almost surely, 221783272448 is an apocalyptic number.

21783272448 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 21783272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126913024).

21783272448 is an abundant number, since it is smaller than the sum of its proper divisors (48470553600).

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

21783272448 is a wasteful number, since it uses less digits than its factorization.

21783272448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 48.

The spelling of 21783272448 in words is "twenty-one billion, seven hundred eighty-three million, two hundred seventy-two thousand, four hundred forty-eight".