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2986073856 = 28332914897
BaseRepresentation
bin1011000111111011…
…1101111100000000
321201002211021021000
42301332331330000
522103413330411
61212145532000
7133666131453
oct26176757400
97632737230
102986073856
1112a2619537
126b4044000
1338784990c
1420481d49a
15127242956
hexb1fbdf00

2986073856 has 144 divisors (see below), whose sum is σ = 9135453600. Its totient is φ = 960970752.

The previous prime is 2986073821. The next prime is 2986073861. The reversal of 2986073856 is 6583706892.

It is a happy number.

2986073856 is a `hidden beast` number, since 29 + 8 + 607 + 3 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193000 + ... + 207896.

It is an arithmetic number, because the mean of its divisors is an integer number (63440650).

Almost surely, 22986073856 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 2986073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567726800).

2986073856 is an abundant number, since it is smaller than the sum of its proper divisors (6149379744).

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

2986073856 is a wasteful number, since it uses less digits than its factorization.

2986073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2986073856 is about 54644.9801537159. The cubic root of 2986073856 is about 1440.0144442996.

The spelling of 2986073856 in words is "two billion, nine hundred eighty-six million, seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 522 576 696 768 783 864 928 1044 1152 1392 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 5568 6264 6912 7424 8352 11136 12528 14897 16704 22272 25056 29794 33408 44691 50112 59588 66816 89382 100224 119176 134073 178764 200448 238352 268146 357528 402219 432013 476704 536292 715056 804438 864026 953408 1072584 1296039 1430112 1608876 1728052 1906816 2145168 2592078 2860224 3217752 3456104 3813632 3888117 4290336 5184156 5720448 6435504 6912208 7776234 8580672 10368312 11440896 11664351 12871008 13824416 15552468 17161344 20736624 23328702 25742016 27648832 31104936 34322688 41473248 46657404 51484032 55297664 62209872 82946496 93314808 102968064 110595328 124419744 165892992 186629616 248839488 331785984 373259232 497678976 746518464 995357952 1493036928 2986073856