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8472980916 = 22331911336541
BaseRepresentation
bin1111110010000011…
…10110110110110100
3210212111102000202000
413321001312312310
5114323040342131
63520433215300
7416653102161
oct77101666664
923774360660
108472980916
11365885aa74
121785701530
13a50527c9a
145a5429068
15348cc7ce6
hex1f9076db4

8472980916 has 96 divisors (see below), whose sum is σ = 23328412800. Its totient is φ = 2651927040.

The previous prime is 8472980909. The next prime is 8472980941. The reversal of 8472980916 is 6190892748.

8472980916 is a `hidden beast` number, since 8 + 472 + 9 + 80 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 213606 + ... + 250146.

It is an arithmetic number, because the mean of its divisors is an integer number (243004300).

Almost surely, 28472980916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8472980916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664206400).

8472980916 is an abundant number, since it is smaller than the sum of its proper divisors (14855431884).

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

8472980916 is a wasteful number, since it uses less digits than its factorization.

8472980916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36686 (or 36678 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 8472980916 is about 92048.7963853955. The cubic root of 8472980916 is about 2038.6628521120.

The spelling of 8472980916 in words is "eight billion, four hundred seventy-two million, nine hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 113 114 171 226 228 339 342 452 513 678 684 1017 1026 1356 2034 2052 2147 3051 4068 4294 6102 6441 8588 12204 12882 19323 25764 36541 38646 57969 73082 77292 109623 115938 146164 219246 231876 328869 438492 657738 694279 986607 1315476 1388558 1973214 2082837 2777116 3946428 4129133 4165674 6248511 8258266 8331348 12387399 12497022 16516532 18745533 24774798 24994044 37162197 37491066 49549596 74324394 74982132 78453527 111486591 148648788 156907054 222973182 235360581 313814108 445946364 470721162 706081743 941442324 1412163486 2118245229 2824326972 4236490458 8472980916