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21014279664 = 2437274922751
BaseRepresentation
bin10011100100100011…
…000111010111110000
32000020112002000101020
4103210203013113300
5321014123422124
613353120535440
71342516300320
oct234443072760
960215060336
1021014279664
118a04016384
1240a5781580
131c9b874611
141034cad280
1582ed1d379
hex4e48c75f0

21014279664 has 80 divisors (see below), whose sum is σ = 62067456000. Its totient is φ = 6001632000.

The previous prime is 21014279639. The next prime is 21014279669. The reversal of 21014279664 is 46697241012.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21014279669) 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 15 ways as a sum of consecutive naturals, for example, 912289 + ... + 935039.

It is an arithmetic number, because the mean of its divisors is an integer number (775843200).

Almost surely, 221014279664 is an apocalyptic number.

21014279664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21014279664 is an abundant number, since it is smaller than the sum of its proper divisors (41053176336).

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

21014279664 is a wasteful number, since it uses less digits than its factorization.

21014279664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25518 (or 25512 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 21014279664 in words is "twenty-one billion, fourteen million, two hundred seventy-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2749 5498 8247 10996 16494 19243 21992 22751 32988 38486 43984 45502 57729 65976 68253 76972 91004 115458 131952 136506 153944 159257 182008 230916 273012 307888 318514 364016 461832 477771 546024 637028 923664 955542 1092048 1274056 1911084 2548112 3822168 7644336 62542499 125084998 187627497 250169996 375254994 437797493 500339992 750509988 875594986 1000679984 1313392479 1501019976 1751189972 2626784958 3002039952 3502379944 5253569916 7004759888 10507139832 21014279664