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338023698649 = 71331611999871
BaseRepresentation
bin1001110101100111100…
…10000101000011011001
31012022111110020001110021
410322303302011003121
521014233031324044
6415141432550441
733264354013540
oct4726362050331
91168443201407
10338023698649
1112039a62493a
1255617552421
1325b4c613890
1412509063157
158bd5914e84
hex4eb3c850d9

338023698649 has 64 divisors (see below), whose sum is σ = 438727475200. Its totient is φ = 253272096000.

The previous prime is 338023698641. The next prime is 338023698659. The reversal of 338023698649 is 946896320833.

It is a happy number.

It is not a de Polignac number, because 338023698649 - 23 = 338023698641 is a prime.

It is a super-2 number, since 2×3380236986492 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (338023698641) 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 63 ways as a sum of consecutive naturals, for example, 34239184 + ... + 34249054.

It is an arithmetic number, because the mean of its divisors is an integer number (6855116800).

Almost surely, 2338023698649 is an apocalyptic number.

It is an amenable number.

338023698649 is a deficient number, since it is larger than the sum of its proper divisors (100703776551).

338023698649 is a wasteful number, since it uses less digits than its factorization.

338023698649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10182.

The product of its (nonzero) digits is 40310784, while the sum is 61.

The spelling of 338023698649 in words is "three hundred thirty-eight billion, twenty-three million, six hundred ninety-eight thousand, six hundred forty-nine".

Divisors: 1 7 13 31 61 91 199 217 403 427 793 1393 1891 2587 2821 5551 6169 9871 12139 13237 18109 24583 43183 69097 80197 84973 128323 157807 172081 306001 376309 561379 602131 898261 1104649 1964329 2142007 2634163 3978013 4214917 4892017 7827703 13750303 18666061 25536277 27846091 34244119 54793921 60894199 119824069 130662427 178753939 242658793 426259393 791624587 838768483 1557712897 1698611551 3714546139 5541372109 10903990279 26001822973 48289099807 338023698649