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6390628480 = 27515763601
BaseRepresentation
bin1011111001110100…
…10100000010000000
3121111101002120012201
411330322110002000
5101042000102410
62534045202544
7314236305625
oct57472240200
917441076181
106390628480
11278a385845
1212a4260454
137aaca8892
14448a5434c
1527609983a
hex17ce94080

6390628480 has 64 divisors (see below), whose sum is σ = 15375147480. Its totient is φ = 2539929600.

The previous prime is 6390628469. The next prime is 6390628487. The reversal of 6390628480 is 848260936.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5692400704 + 698227776 = 75448^2 + 26424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×63906284802 = 81680264738774220800, 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 6390628480.

It is not an unprimeable number, because it can be changed into a prime (6390628487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68680 + ... + 132280.

Almost surely, 26390628480 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 6390628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687573740).

6390628480 is an abundant number, since it is smaller than the sum of its proper divisors (8984519000).

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

6390628480 is a wasteful number, since it uses less digits than its factorization.

6390628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63777 (or 63765 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 6390628480 is about 79941.4065425421. The cubic root of 6390628480 is about 1855.7288669532.

The spelling of 6390628480 in words is "six billion, three hundred ninety million, six hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 314 320 628 640 785 1256 1570 2512 3140 5024 6280 10048 12560 20096 25120 50240 63601 100480 127202 254404 318005 508808 636010 1017616 1272020 2035232 2544040 4070464 5088080 8140928 9985357 10176160 19970714 20352320 39941428 40704640 49926785 79882856 99853570 159765712 199707140 319531424 399414280 639062848 798828560 1278125696 1597657120 3195314240 6390628480