Search a number
-
+
55834574848 = 23213
BaseRepresentation
bin110100000000000000…
…000000000000000000
312100010012121021122121
4310000000000000000
51403322122343343
641352224414024
74014430025023
oct640000000000
9170105537577
1055834574848
1121752186538
12a9a2a77314
13535a798890
1429b959b1ba
1516bbc02aed
hexd00000000

55834574848 has 66 divisors (see below), whose sum is σ = 120259084274. Its totient is φ = 25769803776.

The previous prime is 55834574773. The next prime is 55834574857. The reversal of 55834574848 is 84847543855.

It can be written as a sum of positive squares in only one way, i.e., 38654705664 + 17179869184 = 196608^2 + 131072^2 .

Its product of digits (86016000) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 4, base 8 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4294967290 + ... + 4294967302.

Almost surely, 255834574848 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 55834574848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60129542137).

55834574848 is an abundant number, since it is smaller than the sum of its proper divisors (64424509426).

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

55834574848 is an frugal number, since it uses more digits than its factorization.

55834574848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 15 counting only the distinct ones).

The product of its digits is 86016000, while the sum is 61.

The spelling of 55834574848 in words is "fifty-five billion, eight hundred thirty-four million, five hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 65536 106496 131072 212992 262144 425984 524288 851968 1048576 1703936 2097152 3407872 4194304 6815744 8388608 13631488 16777216 27262976 33554432 54525952 67108864 109051904 134217728 218103808 268435456 436207616 536870912 872415232 1073741824 1744830464 2147483648 3489660928 4294967296 6979321856 13958643712 27917287424 55834574848