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21159503872 = 211131674759
BaseRepresentation
bin10011101101001101…
…000110100000000000
32000121122100011112121
4103231031012200000
5321313313110442
613415345334024
71346231546443
oct235515064000
960548304477
1021159503872
118a78a96491
124126337314
131cc29907c0
14104a2b365a
1583c957967
hex4ed346800

21159503872 has 96 divisors (see below), whose sum is σ = 45845654400. Its totient is φ = 9705406464.

The previous prime is 21159503863. The next prime is 21159503921. The reversal of 21159503872 is 27830595112.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4443829 + ... + 4448587.

It is an arithmetic number, because the mean of its divisors is an integer number (477558900).

Almost surely, 221159503872 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 21159503872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22922827200).

21159503872 is an abundant number, since it is smaller than the sum of its proper divisors (24686150528).

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

21159503872 is a wasteful number, since it uses less digits than its factorization.

21159503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 21159503872 in words is "twenty-one billion, one hundred fifty-nine million, five hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 167 208 256 334 416 512 668 832 1024 1336 1664 2048 2171 2672 3328 4342 4759 5344 6656 8684 9518 10688 13312 17368 19036 21376 26624 34736 38072 42752 61867 69472 76144 85504 123734 138944 152288 171008 247468 277888 304576 342016 494936 555776 609152 794753 989872 1111552 1218304 1589506 1979744 2223104 2436608 3179012 3959488 4446208 4873216 6358024 7918976 9746432 10331789 12716048 15837952 20663578 25432096 31675904 41327156 50864192 63351808 82654312 101728384 126703616 165308624 203456768 330617248 406913536 661234496 813827072 1322468992 1627654144 2644937984 5289875968 10579751936 21159503872