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3383116542 = 2321327115333
BaseRepresentation
bin1100100110100110…
…0100001011111110
322201202221010102200
43021221210023332
523412034212132
61315411532330
7146560005351
oct31151441376
98652833380
103383116542
111486754593
127a4bba0a6
1341bb94110
14241454298
1514c01ed7c
hexc9a642fe

3383116542 has 48 divisors (see below), whose sum is σ = 7898331168. Its totient is φ = 1040379840.

The previous prime is 3383116531. The next prime is 3383116549. The reversal of 3383116542 is 2456113833.

3383116542 is a `hidden beast` number, since 33 + 83 + 1 + 1 + 6 + 542 = 666.

It is a super-2 number, since 2×33831165422 = 22890955073508075528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3383116497 and 3383116506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3383116549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631708 + ... + 637040.

It is an arithmetic number, because the mean of its divisors is an integer number (164548566).

Almost surely, 23383116542 is an apocalyptic number.

3383116542 is an abundant number, since it is smaller than the sum of its proper divisors (4515214626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3383116542 is a wasteful number, since it uses less digits than its factorization.

3383116542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065 (or 8062 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3383116542 is about 58164.5643153974. The cubic root of 3383116542 is about 1501.2014880274.

The spelling of 3383116542 in words is "three billion, three hundred eighty-three million, one hundred sixteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 2711 5333 5422 8133 10666 15999 16266 24399 31998 35243 47997 48798 69329 70486 95994 105729 138658 207987 211458 317187 415974 623961 634374 1247922 14457763 28915526 43373289 86746578 130119867 187950919 260239734 375901838 563852757 1127705514 1691558271 3383116542