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6064356416 = 261710975081
BaseRepresentation
bin1011010010111011…
…01011110001000000
3120122122011020002012
411221131223301000
544404433401131
62441432112052
7303165115256
oct55135536100
916578136065
106064356416
112632197808
121212b35628
1375850c8a1
144175a25d6
152575eb52b
hex16976bc40

6064356416 has 56 divisors (see below), whose sum is σ = 12755962296. Its totient is φ = 2850652160.

The previous prime is 6064356409. The next prime is 6064356421. The reversal of 6064356416 is 6146534606.

It can be written as a sum of positive squares in 4 ways, for example, as 304153600 + 5760202816 = 17440^2 + 75896^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1190996 + ... + 1196076.

It is an arithmetic number, because the mean of its divisors is an integer number (227785041).

Almost surely, 26064356416 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 6064356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377981148).

6064356416 is an abundant number, since it is smaller than the sum of its proper divisors (6691605880).

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

6064356416 is a wasteful number, since it uses less digits than its factorization.

6064356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The square root of 6064356416 is about 77873.9777846233. The cubic root of 6064356416 is about 1823.5943555212.

The spelling of 6064356416 in words is "six billion, sixty-four million, three hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 1097 2194 4388 5081 8776 10162 17552 18649 20324 35104 37298 40648 70208 74596 81296 86377 149192 162592 172754 298384 325184 345508 596768 691016 1193536 1382032 2764064 5528128 5573857 11147714 22295428 44590856 89181712 94755569 178363424 189511138 356726848 379022276 758044552 1516089104 3032178208 6064356416