Search a number
-
+
5418065856 = 263734911551
BaseRepresentation
bin1010000101111000…
…10001111111000000
3111222121001021002210
411002330101333000
542044011101411
62253343542120
7251156541240
oct50274217700
914877037083
105418065856
1123303a2085
1210725ba940
13684657138
14395809b20
1521a9d7ca6
hex142f11fc0

5418065856 has 112 divisors (see below), whose sum is σ = 16431564800. Its totient is φ = 1543449600.

The previous prime is 5418065831. The next prime is 5418065879. The reversal of 5418065856 is 6585608145.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463281 + ... + 474831.

It is an arithmetic number, because the mean of its divisors is an integer number (146710400).

Almost surely, 25418065856 is an apocalyptic number.

5418065856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5418065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215782400).

5418065856 is an abundant number, since it is smaller than the sum of its proper divisors (11013498944).

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

5418065856 is a wasteful number, since it uses less digits than its factorization.

5418065856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The square root of 5418065856 is about 73607.5122253157. The cubic root of 5418065856 is about 1756.3649423199.

The spelling of 5418065856 in words is "five billion, four hundred eighteen million, sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 349 448 672 698 1047 1344 1396 2094 2443 2792 4188 4886 5584 7329 8376 9772 11168 11551 14658 16752 19544 22336 23102 29316 33504 34653 39088 46204 58632 67008 69306 78176 80857 92408 117264 138612 156352 161714 184816 234528 242571 277224 323428 369632 469056 485142 554448 646856 739264 970284 1108896 1293712 1940568 2217792 2587424 3881136 4031299 5174848 7762272 8062598 12093897 15524544 16125196 24187794 28219093 32250392 48375588 56438186 64500784 84657279 96751176 112876372 129001568 169314558 193502352 225752744 258003136 338629116 387004704 451505488 677258232 774009408 903010976 1354516464 1806021952 2709032928 5418065856