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99218417257 = 2997139253751
BaseRepresentation
bin101110001100111100…
…0001110011001101001
3100111002200221211021201
41130121320032121221
53111144403323012
6113325203004201
710111503426421
oct1343170163151
9314080854251
1099218417257
1139095234453
1217290069661
13948290774b
144b3332b481
1528aa7ee857
hex1719e0e669

99218417257 has 16 divisors (see below), whose sum is σ = 104444323200. Its totient is φ = 94127040000.

The previous prime is 99218417227. The next prime is 99218417303. The reversal of 99218417257 is 75271481299.

It is a de Polignac number, because none of the positive numbers 2k-99218417257 is a prime.

99218417257 is a Rhonda number in base 10.

Its product of digits (2540160) is a multiple of the sum of its prime divisors (254016).

It is a junction number, because it is equal to n+sod(n) for n = 99218417198 and 99218417207.

It is not an unprimeable number, because it can be changed into a prime (99218417227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264132 + ... + 517882.

It is an arithmetic number, because the mean of its divisors is an integer number (6527770200).

Almost surely, 299218417257 is an apocalyptic number.

99218417257 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

99218417257 is a deficient number, since it is larger than the sum of its proper divisors (5225905943).

99218417257 is a wasteful number, since it uses less digits than its factorization.

99218417257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254016.

The product of its digits is 2540160, while the sum is 55.

The spelling of 99218417257 in words is "ninety-nine billion, two hundred eighteen million, four hundred seventeen thousand, two hundred fifty-seven".

Divisors: 1 29 97 139 2813 4031 13483 253751 391007 7358779 24613847 35271389 713801563 1022870281 3421324733 99218417257