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661626331605 = 325611092211281
BaseRepresentation
bin10011010000011000000…
…00001010000111010101
32100020202212200001210100
421220030000022013111
541320002320102410
61223540312244313
765541501012201
oct11501400120725
92306685601710
10661626331605
112356598a7668
12a82893a0699
134a51130c795
1424046b23b01
15123252718c0
hex9a0c00a1d5

661626331605 has 48 divisors (see below), whose sum is σ = 1176313572720. Its totient is φ = 343898265600.

The previous prime is 661626331573. The next prime is 661626331627. The reversal of 661626331605 is 506133626166.

661626331605 is a `hidden beast` number, since 6 + 6 + 1 + 6 + 2 + 6 + 3 + 31 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2149156881 + 659477174724 = 46359^2 + 812082^2 .

It is not a de Polignac number, because 661626331605 - 25 = 661626331573 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 806436 + ... + 1404845.

It is an arithmetic number, because the mean of its divisors is an integer number (24506532765).

Almost surely, 2661626331605 is an apocalyptic number.

It is an amenable number.

661626331605 is a deficient number, since it is larger than the sum of its proper divisors (514687241115).

661626331605 is a wasteful number, since it uses less digits than its factorization.

661626331605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211462 (or 2211459 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 661626331605 in words is "six hundred sixty-one billion, six hundred twenty-six million, three hundred thirty-one thousand, six hundred five".

Divisors: 1 3 5 9 15 45 61 109 183 305 327 545 549 915 981 1635 2745 4905 6649 19947 33245 59841 99735 299205 2211281 6633843 11056405 19901529 33169215 99507645 134888141 241029629 404664423 674440705 723088887 1205148145 1213993269 2023322115 2169266661 3615444435 6069966345 10846333305 14702807369 44108422107 73514036845 132325266321 220542110535 661626331605