Search a number
-
+
2770126848 = 211321371097
BaseRepresentation
bin1010010100011100…
…1100100000000000
321011001111000122200
42211013030200000
521133123024343
61134513233200
7125434455366
oct24507144000
97131430580
102770126848
1111a1734335
12653862800
13351b9ac18
141c3c89636
151132d84d3
hexa51cc800

2770126848 has 144 divisors (see below), whose sum is σ = 8066380140. Its totient is φ = 915800064.

The previous prime is 2770126817. The next prime is 2770126867. The reversal of 2770126848 is 8486210772.

It can be written as a sum of positive squares in 2 ways, for example, as 2757510144 + 12616704 = 52512^2 + 3552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2524636 + ... + 2525732.

Almost surely, 22770126848 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 2770126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033190070).

2770126848 is an abundant number, since it is smaller than the sum of its proper divisors (5296253292).

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

2770126848 is a wasteful number, since it uses less digits than its factorization.

2770126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2770126848 is about 52631.9945280435. The cubic root of 2770126848 is about 1404.4293132780.

The spelling of 2770126848 in words is "two billion, seven hundred seventy million, one hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 512 548 576 768 822 1024 1096 1097 1152 1233 1536 1644 2048 2192 2194 2304 2466 3072 3288 3291 4384 4388 4608 4932 6144 6576 6582 8768 8776 9216 9864 9873 13152 13164 17536 17552 18432 19728 19746 26304 26328 35072 35104 39456 39492 52608 52656 70144 70208 78912 78984 105216 105312 140288 140416 150289 157824 157968 210432 210624 280576 280832 300578 315648 315936 420864 421248 450867 561664 601156 631296 631872 841728 842496 901734 1123328 1202312 1262592 1263744 1352601 1684992 1803468 2246656 2404624 2525184 2527488 2705202 3369984 3606936 4809248 5054976 5410404 6739968 7213872 9618496 10109952 10820808 14427744 19236992 20219904 21641616 28855488 38473984 43283232 57710976 76947968 86566464 115421952 153895936 173132928 230843904 307791872 346265856 461687808 692531712 923375616 1385063424 2770126848