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6146668032 = 2937975021
BaseRepresentation
bin1011011100101111…
…01011011000000000
3120212101001002101120
411232113223120000
5100042021334112
62453532232240
7305214546651
oct55627533000
916771032346
106146668032
1126746a773a
12123660b680
1376c59c19b
144244ab528
1525e959e8c
hex16e5eb600

6146668032 has 80 divisors (see below), whose sum is σ = 16398919152. Its totient is φ = 2045911040.

The previous prime is 6146668009. The next prime is 6146668039. The reversal of 6146668032 is 2308666416.

It is a super-2 number, since 2×61466680322 = 75563055791221506048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146668039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1221682 + ... + 1226702.

Almost surely, 26146668032 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 6146668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199459576).

6146668032 is an abundant number, since it is smaller than the sum of its proper divisors (10252251120).

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

6146668032 is an equidigital number, since it uses as much as digits as its factorization.

6146668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6146668032 is about 78400.6889765645. The cubic root of 6146668032 is about 1831.8078655376.

The spelling of 6146668032 in words is "six billion, one hundred forty-six million, six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 797 1536 1594 2391 3188 4782 5021 6376 9564 10042 12752 15063 19128 20084 25504 30126 38256 40168 51008 60252 76512 80336 102016 120504 153024 160672 204032 241008 306048 321344 408064 482016 612096 642688 964032 1224192 1285376 1928064 2570752 3856128 4001737 7712256 8003474 12005211 16006948 24010422 32013896 48020844 64027792 96041688 128055584 192083376 256111168 384166752 512222336 768333504 1024444672 1536667008 2048889344 3073334016 6146668032