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21980691414 = 23311191193741
BaseRepresentation
bin10100011110001001…
…101011101111010110
32002201212112211002000
4110132021223233112
5330004024111124
614033042300130
71405462536303
oct243611535726
962655484060
1021980691414
11935a588880
124315357646
1320c3b514a6
1410c73960aa
15889ab76c9
hex51e26bbd6

21980691414 has 64 divisors (see below), whose sum is σ = 53565788160. Its totient is φ = 6625908000.

The previous prime is 21980691379. The next prime is 21980691427. The reversal of 21980691414 is 41419608912.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21980691414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16584 + ... + 210324.

It is an arithmetic number, because the mean of its divisors is an integer number (836965440).

Almost surely, 221980691414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21980691414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782894080).

21980691414 is an abundant number, since it is smaller than the sum of its proper divisors (31585096746).

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

21980691414 is a wasteful number, since it uses less digits than its factorization.

21980691414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193954 (or 193948 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 21980691414 in words is "twenty-one billion, nine hundred eighty million, six hundred ninety-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 191 198 297 382 573 594 1146 1719 2101 3438 4202 5157 6303 10314 12606 18909 37818 56727 113454 193741 387482 581223 1162446 1743669 2131151 3487338 4262302 5231007 6393453 10462014 12786906 19180359 37004531 38360718 57541077 74009062 111013593 115082154 222027186 333040779 407049841 666081558 814099682 999122337 1221149523 1998244674 2442299046 3663448569 7326897138 10990345707 21980691414