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2149296309 = 33315971613
BaseRepresentation
bin1000000000011011…
…1010100010110101
312112210021120021000
42000012322202311
513400204440214
6553134513513
7104155500666
oct20006724265
95483246230
102149296309
11a03249146
124bb965899
1328338ab84
1416563d36d
15c8a53809
hex801ba8b5

2149296309 has 64 divisors (see below), whose sum is σ = 3395174400. Its totient is φ = 1341748800.

The previous prime is 2149296307. The next prime is 2149296361. The reversal of 2149296309 is 9036929412.

It is a happy number.

2149296309 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 2 + 9 + 630 + 9 = 666.

It is not a de Polignac number, because 2149296309 - 21 = 2149296307 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 an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149296307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3505887 + ... + 3506499.

It is an arithmetic number, because the mean of its divisors is an integer number (53049600).

Almost surely, 22149296309 is an apocalyptic number.

It is an amenable number.

2149296309 is a deficient number, since it is larger than the sum of its proper divisors (1245878091).

2149296309 is a wasteful number, since it uses less digits than its factorization.

2149296309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2149296309 is about 46360.5037612837. The cubic root of 2149296309 is about 1290.5220547890.

The spelling of 2149296309 in words is "two billion, one hundred forty-nine million, two hundred ninety-six thousand, three hundred nine".

Divisors: 1 3 9 27 31 59 71 93 177 213 279 531 613 639 837 1593 1829 1839 1917 2201 4189 5487 5517 6603 12567 16461 16551 19003 19809 36167 37701 43523 49383 57009 59427 108501 113103 129859 130569 171027 325503 389577 391707 513081 976509 1121177 1168731 1175121 1349213 2567857 3363531 3506193 4047639 7703571 10090593 12142917 23110713 30271779 36428751 69332139 79603567 238810701 716432103 2149296309