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1055000064 = 2932329863
BaseRepresentation
bin111110111000100…
…000011000000000
32201112011120000110
4332320200120000
54130040000224
6252404151320
735100231636
oct7670403000
92645146013
101055000064
114a157a188
12255398540
1313a7563c1
14a0187356
1562947929
hex3ee20600

1055000064 has 80 divisors (see below), whose sum is σ = 2932883712. Its totient is φ = 336365568.

The previous prime is 1055000047. The next prime is 1055000081. The reversal of 1055000064 is 4600005501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1055000047) and next prime (1055000081).

It is a super-2 number, since 2×10550000642 = 2226050270080008192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055000064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20397 + ... + 50259.

Almost surely, 21055000064 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 1055000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466441856).

1055000064 is an abundant number, since it is smaller than the sum of its proper divisors (1877883648).

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

1055000064 is an equidigital number, since it uses as much as digits as its factorization.

1055000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29907 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1055000064 is about 32480.7645230219. The cubic root of 1055000064 is about 1018.0071508665.

Adding to 1055000064 its reverse (4600005501), we get a palindrome (5655005565).

The spelling of 1055000064 in words is "one billion, fifty-five million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 17664 29863 35328 59726 89589 119452 179178 238904 358356 477808 686849 716712 955616 1373698 1433424 1911232 2060547 2747396 2866848 3822464 4121094 5494792 5733696 7644928 8242188 10989584 11467392 15289856 16484376 21979168 22934784 32968752 43958336 45869568 65937504 87916672 131875008 175833344 263750016 351666688 527500032 1055000064