Search a number
-
+
55555559424 = 21234167449
BaseRepresentation
bin110011101111010111…
…101001000000000000
312022101202120211110000
4303233113221000000
51402234210400144
641304420240000
74004501315001
oct635727510000
9168352524400
1055555559424
1121619735082
12a925540000
135314a373b1
1429904cb1a8
1516a248b769
hexcef5e9000

55555559424 has 130 divisors (see below), whose sum is σ = 165961536950. Its totient is φ = 18518409216.

The previous prime is 55555559393. The next prime is 55555559429. The reversal of 55555559424 is 42495555555.

It can be written as a sum of positive squares in only one way, i.e., 42284519424 + 13271040000 = 205632^2 + 115200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (55555559429) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 248052 + ... + 415500.

Almost surely, 255555559424 is an apocalyptic number.

55555559424 is a gapful number since it is divisible by the number (54) 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 55555559424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82980768475).

55555559424 is an abundant number, since it is smaller than the sum of its proper divisors (110405977526).

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

55555559424 is an equidigital number, since it uses as much as digits as its factorization.

55555559424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167485 (or 167454 counting only the distinct ones).

The product of its digits is 22500000, while the sum is 54.

The spelling of 55555559424 in words is "fifty-five billion, five hundred fifty-five million, five hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 9216 10368 12288 13824 18432 20736 27648 36864 41472 55296 82944 110592 165888 167449 331776 334898 502347 669796 1004694 1339592 1507041 2009388 2679184 3014082 4018776 4521123 5358368 6028164 8037552 9042246 10716736 12056328 13563369 16075104 18084492 21433472 24112656 27126738 32150208 36168984 42866944 48225312 54253476 64300416 72337968 85733888 96450624 108506952 128600832 144675936 171467776 192901248 217013904 257201664 289351872 342935552 385802496 434027808 514403328 578703744 685871104 771604992 868055616 1028806656 1157407488 1543209984 1736111232 2057613312 2314814976 3086419968 3472222464 4629629952 6172839936 6944444928 9259259904 13888889856 18518519808 27777779712 55555559424