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5978982816 = 253343160933
BaseRepresentation
bin1011001000110000…
…00000100110100000
3120102200111210112000
411210120000212200
544221104422231
62425142204000
7301110341532
oct54430004640
916380453460
105978982816
112598a86314
1211aa423600
1374391a671
1440a0db852
1524ed856e6
hex1646009a0

5978982816 has 96 divisors (see below), whose sum is σ = 17844361920. Its totient is φ = 1946633472.

The previous prime is 5978982811. The next prime is 5978982829. The reversal of 5978982816 is 6182898795.

It is a happy number.

5978982816 is a `hidden beast` number, since 597 + 8 + 9 + 8 + 28 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×59789828163 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5978982811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43315 + ... + 117618.

It is an arithmetic number, because the mean of its divisors is an integer number (185878770).

Almost surely, 25978982816 is an apocalyptic number.

It is an amenable number.

5978982816 is an abundant number, since it is smaller than the sum of its proper divisors (11865379104).

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

5978982816 is a wasteful number, since it uses less digits than its factorization.

5978982816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160995 (or 160981 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 5978982816 is about 77323.8825719454. The cubic root of 5978982816 is about 1814.9964018780.

The spelling of 5978982816 in words is "five billion, nine hundred seventy-eight million, nine hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 18576 37152 160933 321866 482799 643732 965598 1287464 1448397 1931196 2574928 2896794 3862392 4345191 5149856 5793588 6920119 7724784 8690382 11587176 13840238 15449568 17380764 20760357 23174352 27680476 34761528 41520714 46348704 55360952 62281071 69523056 83041428 110721904 124562142 139046112 166082856 186843213 221443808 249124284 332165712 373686426 498248568 664331424 747372852 996497136 1494745704 1992994272 2989491408 5978982816