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21547960512 = 2631317874831
BaseRepresentation
bin10100000100010110…
…111100100011000000
32001121201021210212120
4110010112330203000
5323112234214022
613522103324240
71361656433211
oct240426744300
961551253776
1021547960512
119158297731
124214450680
1320552bcbc0
141085b11408
15861adad5c
hex5045bc8c0

21547960512 has 112 divisors (see below), whose sum is σ = 61444948992. Its totient is φ = 6625059840.

The previous prime is 21547960501. The next prime is 21547960549. The reversal of 21547960512 is 21506974512.

It is a super-2 number, since 2×215479605122 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 4457937 + ... + 4462767.

It is an arithmetic number, because the mean of its divisors is an integer number (548615616).

Almost surely, 221547960512 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 21547960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30722474496).

21547960512 is an abundant number, since it is smaller than the sum of its proper divisors (39896988480).

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

21547960512 is a wasteful number, since it uses less digits than its factorization.

21547960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 21547960512 in words is "twenty-one billion, five hundred forty-seven million, nine hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1787 2496 3574 4831 5361 7148 9662 10722 14296 14493 19324 21444 23231 28592 28986 38648 42888 46462 57184 57972 62803 69693 77296 85776 92924 114368 115944 125606 139386 154592 171552 185848 188409 231888 251212 278772 309184 343104 371696 376818 463776 502424 557544 743392 753636 927552 1004848 1115088 1486784 1507272 2009696 2230176 3014544 4019392 4460352 6029088 8632997 12058176 17265994 25898991 34531988 51797982 69063976 103595964 112228961 138127952 207191928 224457922 276255904 336686883 414383856 448915844 552511808 673373766 828767712 897831688 1346747532 1657535424 1795663376 2693495064 3591326752 5386990128 7182653504 10773980256 21547960512