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6104284416 = 283710903
BaseRepresentation
bin1011010111101011…
…11111110100000000
3120202102021210000000
411223311333310000
5100000144100131
62445420000000
7304161363366
oct55365776400
916672253000
106104284416
11265278925a
121224390000
1376387c719
1441c9d7636
1525ad86ce6
hex16bd7fd00

6104284416 has 144 divisors (see below), whose sum is σ = 18275976320. Its totient is φ = 2034574848.

The previous prime is 6104284397. The next prime is 6104284447. The reversal of 6104284416 is 6144824016.

It is a happy number.

6104284416 is a `hidden beast` number, since 610 + 4 + 28 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×61042844162 = 74524576462840922112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554421 + ... + 565323.

Almost surely, 26104284416 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 6104284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137988160).

6104284416 is an abundant number, since it is smaller than the sum of its proper divisors (12171691904).

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

6104284416 is an frugal number, since it uses more digits than its factorization.

6104284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10908 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6104284416 is about 78129.9201074723. The cubic root of 6104284416 is about 1827.5878134792.

The spelling of 6104284416 in words is "six billion, one hundred four million, two hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 5184 5832 6912 7776 8748 10368 10903 11664 15552 17496 20736 21806 23328 31104 32709 34992 43612 46656 62208 65418 69984 87224 93312 98127 130836 139968 174448 186624 196254 261672 279936 294381 348896 392508 523344 559872 588762 697792 785016 883143 1046688 1177524 1395584 1570032 1766286 2093376 2355048 2649429 2791168 3140064 3532572 4186752 4710096 5298858 6280128 7065144 7948287 8373504 9420192 10597716 12560256 14130288 15896574 18840384 21195432 23844861 25120512 28260576 31793148 37680768 42390864 47689722 56521152 63586296 75361536 84781728 95379444 113042304 127172592 169563456 190758888 226084608 254345184 339126912 381517776 508690368 678253824 763035552 1017380736 1526071104 2034761472 3052142208 6104284416