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21272251968 = 2633111119121
BaseRepresentation
bin10011110011111011…
…001100111001000000
32000220111111100212000
4103303323030321000
5322031144030333
613434454104000
71352101105212
oct236373147100
960814440760
1021272251968
1190266a4830
12415804b000
132010148956
14105b2625b2
158477c9713
hex4f3ecce40

21272251968 has 112 divisors (see below), whose sum is σ = 68221677120. Its totient is φ = 6446131200.

The previous prime is 21272251967. The next prime is 21272252003. The reversal of 21272251968 is 86915227212.

21272251968 is a `hidden beast` number, since 2 + 1 + 2 + 72 + 2 + 519 + 68 = 666.

It is a super-3 number, since 3×212722519683 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21272251967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540553 + ... + 578568.

Almost surely, 221272251968 is an apocalyptic number.

It is an amenable number.

21272251968 is an abundant number, since it is smaller than the sum of its proper divisors (46949425152).

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

21272251968 is a wasteful number, since it uses less digits than its factorization.

21272251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119153 (or 1119137 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 21272251968 in words is "twenty-one billion, two hundred seventy-two million, two hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 1119121 2238242 3357363 4476484 6714726 8952968 10072089 12310331 13429452 17905936 20144178 24620662 26858904 30216267 35811872 36930993 40288356 49241324 53717808 60432534 71623744 73861986 80576712 98482648 107435616 110792979 120865068 147723972 161153424 196965296 214871232 221585958 241730136 295447944 322306848 332378937 393930592 443171916 483460272 590895888 644613696 664757874 787861184 886343832 966920544 1181791776 1329515748 1772687664 1933841088 2363583552 2659031496 3545375328 5318062992 7090750656 10636125984 21272251968