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6040376064 = 2834291299
BaseRepresentation
bin1011010000000100…
…01101001100000000
3120120222000220020000
411220002031030000
544332314013224
62435214120000
7302454230562
oct55002151400
916528026200
106040376064
11261a6a8a38
121206ab0000
13753564828
1441431d332
152554610c9
hex16808d300

6040376064 has 90 divisors (see below), whose sum is σ = 18011370300. Its totient is φ = 2013451776.

The previous prime is 6040376039. The next prime is 6040376093. The reversal of 6040376064 is 4606730406.

6040376064 is a `hidden beast` number, since 6 + 0 + 40 + 3 + 7 + 606 + 4 = 666.

It is a super-2 number, since 2×60403760642 = 72972285989088264192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 124914 + ... + 166385.

Almost surely, 26040376064 is an apocalyptic number.

6040376064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6040376064 is an abundant number, since it is smaller than the sum of its proper divisors (11970994236).

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

6040376064 is an equidigital number, since it uses as much as digits as its factorization.

6040376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291327 (or 291304 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6040376064 is about 77719.8563045506. The cubic root of 6040376064 is about 1821.1874937561.

The spelling of 6040376064 in words is "six billion, forty million, three hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 291299 582598 873897 1165196 1747794 2330392 2621691 3495588 4660784 5243382 6991176 7865073 9321568 10486764 13982352 15730146 18643136 20973528 23595219 27964704 31460292 37286272 41947056 47190438 55929408 62920584 74572544 83894112 94380876 111858816 125841168 167788224 188761752 223717632 251682336 335576448 377523504 503364672 671152896 755047008 1006729344 1510094016 2013458688 3020188032 6040376064