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1040997062637 = 3273616318761
BaseRepresentation
bin11110010011000000100…
…00101001011111101101
310200111222212121222210100
433021200100221133231
5114023430222001022
62114121043501313
7135131610015000
oct17114020513755
93614885558710
101040997062637
11371536780944
12149903987839
137721ca9a29c
14385551d9537
151c12aa4e1ac
hexf2604297ed

1040997062637 has 96 divisors (see below), whose sum is σ = 1785317081600. Its totient is φ = 584109792000.

The previous prime is 1040997062621. The next prime is 1040997062669. The reversal of 1040997062637 is 7362607990401.

It is a happy number.

1040997062637 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 9 + 7 + 0 + 626 + 3 + 7 = 666.

1040997062637 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1040997062637 - 24 = 1040997062621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040997062687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118817337 + ... + 118826097.

Almost surely, 21040997062637 is an apocalyptic number.

It is an amenable number.

1040997062637 is a deficient number, since it is larger than the sum of its proper divisors (744320018963).

1040997062637 is an equidigital number, since it uses as much as digits as its factorization.

1040997062637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 1040997062637 in words is "one trillion, forty billion, nine hundred ninety-seven million, sixty-two thousand, six hundred thirty-seven".

Divisors: 1 3 7 9 21 49 61 63 147 183 343 427 441 549 631 1029 1281 1893 2989 3087 3843 4417 5679 8761 8967 13251 20923 26283 26901 30919 38491 39753 61327 62769 78849 92757 115473 183981 188307 216433 269437 278271 346419 429289 534421 551943 649299 808311 1287867 1603263 1886059 1947897 2424933 3005023 3740947 3863601 4809789 5528191 5658177 9015069 11222841 13202413 16584573 16974531 26186629 27045207 33668523 38697337 39607239 49753719 78559887 116092011 118821717 183306403 235679661 270881359 337219651 348276033 549919209 812644077 1011658953 1649757627 1896169513 2360537557 2437932231 3034976859 5688508539 7081612671 16523762899 17065525617 21244838013 49571288697 115666340293 148713866091 346999020879 1040997062637