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21426131072 = 275325112583
BaseRepresentation
bin10011111101000110…
…001101000010000000
32001022020001020022002
4103331012031002000
5322340042143242
613502032203132
71355650052303
oct237506150200
961266036262
1021426131072
1190a5546445
12419b6994a8
132035ca5388
14107387ab3a
15856073432
hex4fd18d080

21426131072 has 64 divisors (see below), whose sum is σ = 43666983360. Its totient is φ = 10468224000.

The previous prime is 21426131057. The next prime is 21426131093. The reversal of 21426131072 is 27013162412.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1696493 + ... + 1709075.

It is an arithmetic number, because the mean of its divisors is an integer number (682296615).

Almost surely, 221426131072 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 21426131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833491680).

21426131072 is an abundant number, since it is smaller than the sum of its proper divisors (22240852288).

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

21426131072 is a wasteful number, since it uses less digits than its factorization.

21426131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12901 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 21426131072 its reverse (27013162412), we get a palindrome (48439293484).

The spelling of 21426131072 in words is "twenty-one billion, four hundred twenty-six million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 251 424 502 848 1004 1696 2008 3392 4016 6784 8032 12583 13303 16064 25166 26606 32128 50332 53212 100664 106424 201328 212848 402656 425696 666899 805312 851392 1333798 1610624 1702784 2667596 3158333 5335192 6316666 10670384 12633332 21340768 25266664 42681536 50533328 85363072 101066656 167391649 202133312 334783298 404266624 669566596 1339133192 2678266384 5356532768 10713065536 21426131072