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21947474912 = 25111711533181
BaseRepresentation
bin10100011100001010…
…111110001111100000
32002122120001020121012
4110130022332033200
5324422023144122
614025454320052
71404610313216
oct243412761740
962576036535
1021947474912
119342860820
1243061b9028
1320b9cc145c
1410c2bcacb6
15886c057e2
hex51c2be3e0

21947474912 has 96 divisors (see below), whose sum is σ = 49968957024. Its totient is φ = 9378201600.

The previous prime is 21947474909. The next prime is 21947474971.

21947474912 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6897962 + ... + 6901142.

It is an arithmetic number, because the mean of its divisors is an integer number (520509969).

Almost surely, 221947474912 is an apocalyptic number.

21947474912 is a gapful number since it is divisible by the number (22) 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 21947474912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24984478512).

21947474912 is an abundant number, since it is smaller than the sum of its proper divisors (28021482112).

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

21947474912 is a wasteful number, since it uses less digits than its factorization.

21947474912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4364 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The spelling of 21947474912 in words is "twenty-one billion, nine hundred forty-seven million, four hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1153 1496 2306 2992 3181 4612 5984 6362 9224 12683 12724 18448 19601 25366 25448 34991 36896 39202 50732 50896 54077 69982 78404 101464 101792 108154 139964 156808 202928 215611 216308 279928 313616 405856 431222 432616 559856 594847 627232 862444 865232 1119712 1189694 1724888 1730464 2379388 3449776 3667693 4758776 6899552 7335386 9517552 14670772 19035104 29341544 40344623 58683088 62350781 80689246 117366176 124701562 161378492 249403124 322756984 498806248 645513968 685858591 997612496 1291027936 1371717182 1995224992 2743434364 5486868728 10973737456 21947474912