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21165945088 = 28592814987
BaseRepresentation
bin10011101101100101…
…101011000100000000
32000122002110102020011
4103231211223010000
5321321440220323
613420135354304
71346340364501
oct235545530400
960562412204
1021165945088
118a81695902
124128522994
131cc4107582
14104b0acba8
1583d2cb20d
hex4ed96b100

21165945088 has 72 divisors (see below), whose sum is σ = 43126846560. Its totient is φ = 10364497920.

The previous prime is 21165945061. The next prime is 21165945103. The reversal of 21165945088 is 88054956112.

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, 4241731 + ... + 4246717.

It is an arithmetic number, because the mean of its divisors is an integer number (598983980).

Almost surely, 221165945088 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 21165945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563423280).

21165945088 is an abundant number, since it is smaller than the sum of its proper divisors (21960901472).

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

21165945088 is an equidigital number, since it uses as much as digits as its factorization.

21165945088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The spelling of 21165945088 in words is "twenty-one billion, one hundred sixty-five million, nine hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 281 472 562 944 1124 1888 2248 3776 4496 4987 7552 8992 9974 15104 16579 17984 19948 33158 35968 39896 66316 71936 79792 132632 159584 265264 294233 319168 530528 588466 638336 1061056 1176932 1276672 1401347 2122112 2353864 2802694 4244224 4707728 5605388 9415456 11210776 18830912 22421552 37661824 44843104 75323648 82679473 89686208 165358946 179372416 330717892 358744832 661435784 1322871568 2645743136 5291486272 10582972544 21165945088