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6870420544 = 261327972
BaseRepresentation
bin1100110011000001…
…00100110001000000
3122201210220112012011
412121200210301000
5103032311424134
63053424542304
7332153416411
oct63140446100
918653815164
106870420544
112a0619a709
1213b8a81994
13856506a00
14492669808
152a3270264
hex199824c40

6870420544 has 63 divisors (see below), whose sum is σ = 14781438687. Its totient is φ = 3166984704.

The previous prime is 6870420527. The next prime is 6870420559. The reversal of 6870420544 is 4450240786.

It is a happy number.

The square root of 6870420544 is 82888.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1070074944 + 5800345600 = 32712^2 + 76160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6870420497 and 6870420506.

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 8 ways as a sum of consecutive naturals, for example, 8619954 + ... + 8620750.

Almost surely, 26870420544 is an apocalyptic number.

6870420544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6870420544 is the 82888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6870420544

6870420544 is an abundant number, since it is smaller than the sum of its proper divisors (7911018143).

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

6870420544 is an frugal number, since it uses more digits than its factorization.

6870420544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The cubic root of 6870420544 is about 1901.0539437935.

The spelling of 6870420544 in words is "six billion, eight hundred seventy million, four hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 797 832 1352 1594 2704 3188 5408 6376 10361 10816 12752 20722 25504 41444 51008 82888 134693 165776 269386 331552 538772 635209 663104 1077544 1270418 2155088 2540836 4310176 5081672 8257717 8620352 10163344 16515434 20326688 33030868 40653376 66061736 107350321 132123472 214700642 264246944 429401284 528493888 858802568 1717605136 3435210272 6870420544