Search a number
-
+
29940509557 = 737479241337
BaseRepresentation
bin11011111000100101…
…111110101101110101
32212021121100110211101
4123320211332231311
5442304232301212
621430545010101
72106645063220
oct337045765565
985247313741
1029940509557
1111774700a82
125977023931
132a91c6605a
1416405a05b7
15ba37c7157
hex6f897eb75

29940509557 has 16 divisors (see below), whose sum is σ = 35216040960. Its totient is φ = 24917459328.

The previous prime is 29940509551. The next prime is 29940509561. The reversal of 29940509557 is 75590504992.

It is a cyclic number.

It is not a de Polignac number, because 29940509557 - 219 = 29939985269 is a prime.

It is a super-2 number, since 2×299405095572 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29940509498 and 29940509507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29940509551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3393 + ... + 244729.

It is an arithmetic number, because the mean of its divisors is an integer number (2201002560).

Almost surely, 229940509557 is an apocalyptic number.

It is an amenable number.

29940509557 is a deficient number, since it is larger than the sum of its proper divisors (5275531403).

29940509557 is a wasteful number, since it uses less digits than its factorization.

29940509557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241860.

The product of its (nonzero) digits is 5103000, while the sum is 55.

The spelling of 29940509557 in words is "twenty-nine billion, nine hundred forty million, five hundred nine thousand, five hundred fifty-seven".

Divisors: 1 7 37 259 479 3353 17723 124061 241337 1689359 8929469 62506283 115600423 809202961 4277215651 29940509557