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21934176096 = 25371271571637
BaseRepresentation
bin10100011011011000…
…001111011101100000
32002121122000121001110
4110123120033131200
5324410122113341
614024301303320
71404356264160
oct243330173540
962548017043
1021934176096
1193362a8168
124301864b40
1320b7316231
1410c11285a0
1588597a216
hex51b60f760

21934176096 has 192 divisors, whose sum is σ = 66783854592. Its totient is φ = 6174185472.

The previous prime is 21934176091. The next prime is 21934176097. The reversal of 21934176096 is 69067143912.

It is a super-2 number, since 2×219341760962 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21934176091) 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 31 ways as a sum of consecutive naturals, for example, 13398190 + ... + 13399826.

It is an arithmetic number, because the mean of its divisors is an integer number (347832576).

Almost surely, 221934176096 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 21934176096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33391927296).

21934176096 is an abundant number, since it is smaller than the sum of its proper divisors (44849678496).

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

21934176096 is a wasteful number, since it uses less digits than its factorization.

21934176096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 21934176096 in words is "twenty-one billion, nine hundred thirty-four million, one hundred seventy-six thousand, ninety-six".