Search a number
-
+
55438314444 = 223231379131071
BaseRepresentation
bin110011101000011000…
…011000101111001100
312022002120222011120100
4303220120120233030
51402014202030234
641245031251100
74001545616622
oct635030305714
9168076864510
1055438314444
11215695351a7
12a8b2219a90
1352c6666476
14297cacb512
15169702c399
hexce8618bcc

55438314444 has 72 divisors (see below), whose sum is σ = 145039032320. Its totient is φ = 17836005600.

The previous prime is 55438314427. The next prime is 55438314469. The reversal of 55438314444 is 44441383455.

55438314444 is a `hidden beast` number, since 554 + 3 + 83 + 14 + 4 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55438314444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357429 + ... + 488499.

Almost surely, 255438314444 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 55438314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72519516160).

55438314444 is an abundant number, since it is smaller than the sum of its proper divisors (89600717876).

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

55438314444 is a wasteful number, since it uses less digits than its factorization.

55438314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131491 (or 131486 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

Adding to 55438314444 its reverse (44441383455), we get a palindrome (99879697899).

The spelling of 55438314444 in words is "fifty-five billion, four hundred thirty-eight million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 379 558 758 1116 1137 1516 2274 3411 4548 6822 11749 13644 23498 35247 46996 70494 105741 131071 140988 211482 262142 393213 422964 524284 786426 1179639 1572852 2359278 4063201 4718556 8126402 12189603 16252804 24379206 36568809 48758412 49675909 73137618 99351818 146275236 149027727 198703636 298055454 447083181 596110908 894166362 1539953179 1788332724 3079906358 4619859537 6159812716 9239719074 13859578611 18479438148 27719157222 55438314444