[go: up one dir, main page]

Search a number
-
+
2656505856 = 2123534079
BaseRepresentation
bin1001111001010111…
…0001000000000000
320212010200110221210
42132111301000000
520420031141411
61115334050120
7122554633014
oct23625610000
96763613853
102656505856
11114358a194
126217a9940
13334498674
141b2b50544
15108342ca6
hex9e571000

2656505856 has 104 divisors (see below), whose sum is σ = 7218564480. Its totient is φ = 868581376.

The previous prime is 2656505801. The next prime is 2656505921. The reversal of 2656505856 is 6585056562.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 649225 + ... + 653303.

Almost surely, 22656505856 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 2656505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609282240).

2656505856 is an abundant number, since it is smaller than the sum of its proper divisors (4562058624).

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

2656505856 is an equidigital number, since it uses as much as digits as its factorization.

2656505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The square root of 2656505856 is about 51541.3024282468. The cubic root of 2656505856 is about 1384.9590287940.

The spelling of 2656505856 in words is "two billion, six hundred fifty-six million, five hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 4079 4096 5088 6144 6784 8158 10176 12237 12288 13568 16316 20352 24474 27136 32632 40704 48948 54272 65264 81408 97896 108544 130528 162816 195792 216187 217088 261056 325632 391584 432374 522112 648561 651264 783168 864748 1044224 1297122 1566336 1729496 2088448 2594244 3132672 3458992 4176896 5188488 6265344 6917984 8353792 10376976 12530688 13835968 16707584 20753952 25061376 27671936 41507904 50122752 55343872 83015808 110687744 166031616 221375488 332063232 442750976 664126464 885501952 1328252928 2656505856