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6103984384 = 281922572
BaseRepresentation
bin1011010111101001…
…10110100100000000
3120202101201112102201
411223310312210000
5100000110000014
62445405322544
7304156003561
oct55364664400
916671645381
106103984384
1126525a38a3
121224266454
137637a5ca4
1441c95a168
1525ad27e74
hex16bd36900

6103984384 has 81 divisors (see below), whose sum is σ = 12909376137. Its totient is φ = 2880110592.

The previous prime is 6103984357. The next prime is 6103984399. The reversal of 6103984384 is 4834893016.

The square root of 6103984384 is 78128.

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

It can be written as a sum of positive squares in only one way, i.e., 6009350400 + 94633984 = 77520^2 + 9728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23750784 + ... + 23751040.

Almost surely, 26103984384 is an apocalyptic number.

6103984384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6103984384 is the 78128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6103984384

6103984384 is an abundant number, since it is smaller than the sum of its proper divisors (6805391753).

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

6103984384 is an frugal number, since it uses more digits than its factorization.

6103984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 278 counting only the distinct ones).

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

The cubic root of 6103984384 is about 1827.5578703674.

The spelling of 6103984384 in words is "six billion, one hundred three million, nine hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 257 304 361 514 608 722 1028 1216 1444 2056 2432 2888 4112 4864 4883 5776 8224 9766 11552 16448 19532 23104 32896 39064 46208 65792 66049 78128 92416 92777 132098 156256 185554 264196 312512 371108 528392 625024 742216 1056784 1250048 1254931 1484432 2113568 2509862 2968864 4227136 5019724 5937728 8454272 10039448 11875456 16908544 20078896 23750912 23843689 40157792 47687378 80315584 95374756 160631168 190749512 321262336 381499024 762998048 1525996096 3051992192 6103984384