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338541998949 = 327114311360851
BaseRepresentation
bin1001110110100101010…
…11001111001101100101
31012100211120111102210200
410323102223033031211
521021313222431244
6415305105541113
733313246340250
oct4732253171545
91170746442720
10338541998949
111206361505a0
1255741044799
1325c02b0554b
1412557c20097
158c16195669
hex4ed2acf365

338541998949 has 48 divisors (see below), whose sum is σ = 623847105024. Its totient is φ = 171776052000.

The previous prime is 338541998939. The next prime is 338541998983. The reversal of 338541998949 is 949899145833.

338541998949 is a `hidden beast` number, since 3 + 3 + 85 + 419 + 98 + 9 + 49 = 666.

It is not a de Polignac number, because 338541998949 - 211 = 338541996901 is a prime.

It is a super-2 number, since 2×3385419989492 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338541998929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5650627 + ... + 5710224.

It is an arithmetic number, because the mean of its divisors is an integer number (12996814688).

Almost surely, 2338541998949 is an apocalyptic number.

It is an amenable number.

338541998949 is a deficient number, since it is larger than the sum of its proper divisors (285305106075).

338541998949 is a wasteful number, since it uses less digits than its factorization.

338541998949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360918 (or 11360915 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 338541998949 in words is "three hundred thirty-eight billion, five hundred forty-one million, nine hundred ninety-eight thousand, nine hundred forty-nine".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 129 231 301 387 473 693 903 1419 2709 3311 4257 9933 29799 11360851 34082553 79525957 102247659 124969361 238577871 374908083 488516593 715733613 874785527 1124724249 1465549779 2624356581 3419616151 4396649337 5373682523 7873069743 10258848453 16121047569 30776545359 37615777661 48363142707 112847332983 338541998949