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21219340296 = 233711171921871
BaseRepresentation
bin10011110000110001…
…010111000000001000
32000202210221011200110
4103300301113000020
5321424122342141
613425324034320
71350556262610
oct236061270010
960683834613
1021219340296
118aa9845480
1241423929a0
1320021b117b
14105420ba40
15842d26e16
hex4f0c57008

21219340296 has 384 divisors, whose sum is σ = 73947893760. Its totient is φ = 4911667200.

The previous prime is 21219340291. The next prime is 21219340321. The reversal of 21219340296 is 69204391212.

It is not an unprimeable number, because it can be changed into a prime (21219340291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11340241 + ... + 11342111.

It is an arithmetic number, because the mean of its divisors is an integer number (192572640).

Almost surely, 221219340296 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 21219340296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36973946880).

21219340296 is an abundant number, since it is smaller than the sum of its proper divisors (52728553464).

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

21219340296 is a wasteful number, since it uses less digits than its factorization.

21219340296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 21219340296 in words is "twenty-one billion, two hundred nineteen million, three hundred forty thousand, two hundred ninety-six".