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10021411449 = 34742272
BaseRepresentation
bin10010101010101001…
…01001101001111001
3221212102001110010000
421111110221221321
5131010440131244
64334225343213
7503224410000
oct112524515171
927772043100
1010021411449
114282909825
121b38197b09
13c3927617a
146b0d37c37
153d9bdc169
hex255529a79

10021411449 has 75 divisors (see below), whose sum is σ = 17541534197. Its totient is φ = 5701293864.

The previous prime is 10021411427. The next prime is 10021411453. The reversal of 10021411449 is 94411412001.

The square root of 10021411449 is 100107.

It is a perfect power (a square), and thus also a powerful number.

10021411449 is a `hidden beast` number, since 1 + 0 + 0 + 214 + 1 + 1 + 449 = 666.

10021411449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021411449 - 25 = 10021411417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021411459) 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 74 ways as a sum of consecutive naturals, for example, 44147074 + ... + 44147300.

Almost surely, 210021411449 is an apocalyptic number.

10021411449 is the 100107-th square number.

10021411449 is the 50054-th centered octagonal number.

It is an amenable number.

10021411449 is a deficient number, since it is larger than the sum of its proper divisors (7520122748).

10021411449 is an frugal number, since it uses more digits than its factorization.

10021411449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10021411449 in words is "ten billion, twenty-one million, four hundred eleven thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 227 343 441 567 681 1029 1323 1589 2043 2401 3087 3969 4767 6129 7203 9261 11123 14301 18387 21609 27783 33369 42903 51529 64827 77861 100107 128709 154587 194481 233583 300321 360703 463761 545027 700749 900963 1082109 1391283 1635081 2102247 2524921 3246327 4173849 4905243 6306741 7574763 9738981 14715729 17674447 22724289 29216943 44147187 53023341 68172867 123721129 159070023 204518601 371163387 477210069 1113490161 1431630207 3340470483 10021411449