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21996680472 = 2332131091491447
BaseRepresentation
bin10100011111000110…
…101011010100011000
32002202222122010221100
4110133012223110120
5330022122233342
614034413111400
71406045461524
oct243706532430
962688563840
1021996680472
119368609678
12431a788560
1320c725c080
1410c9558d84
1588b1c4e4c
hex51f1ab518

21996680472 has 192 divisors, whose sum is σ = 65225160000. Its totient is φ = 6656504832.

The previous prime is 21996680413. The next prime is 21996680473. The reversal of 21996680472 is 27408669912.

21996680472 is a `hidden beast` number, since 2 + 1 + 9 + 96 + 6 + 80 + 472 = 666.

It is a super-2 number, since 2×219966804722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21996680473) 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, 15200853 + ... + 15202299.

It is an arithmetic number, because the mean of its divisors is an integer number (339714375).

Almost surely, 221996680472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21996680472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32612580000).

21996680472 is an abundant number, since it is smaller than the sum of its proper divisors (43228479528).

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

21996680472 is a wasteful number, since it uses less digits than its factorization.

21996680472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 21996680472 in words is "twenty-one billion, nine hundred ninety-six million, six hundred eighty thousand, four hundred seventy-two".