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10214748005 = 5721125872
BaseRepresentation
bin10011000001101100…
…01010111101100101
3222100212211222000012
421200312022331211
5131404433414010
64405333300005
7511062632300
oct114066127545
928325758005
1010214748005
114371a60400
121b90a94605
13c6a3394b7
146cc8a3b37
153ebb7c005
hex260d8af65

10214748005 has 54 divisors (see below), whose sum is σ = 15699811302. Its totient is φ = 6356787360.

The previous prime is 10214747941. The next prime is 10214748007. The reversal of 10214748005 is 50084741201.

It is a happy number.

10214748005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8171798404 + 2042949601 = 90398^2 + 45199^2 .

It is not a de Polignac number, because 10214748005 - 26 = 10214747941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214748007) 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 53 ways as a sum of consecutive naturals, for example, 17401322 + ... + 17401908.

Almost surely, 210214748005 is an apocalyptic number.

It is an amenable number.

10214748005 is a deficient number, since it is larger than the sum of its proper divisors (5485063297).

10214748005 is an frugal number, since it uses more digits than its factorization.

10214748005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 10214748005 in words is "ten billion, two hundred fourteen million, seven hundred forty-eight thousand, five".

Divisors: 1 5 7 11 35 49 55 77 121 245 385 539 587 605 847 2695 2935 4109 4235 5929 6457 20545 28763 29645 32285 45199 71027 143815 225995 316393 344569 355135 497189 1581965 1722845 2411983 2485945 3480323 3790259 12059915 16883881 17401615 18951295 26531813 41692849 84419405 132659065 185722691 208464245 291849943 928613455 1459249715 2042949601 10214748005