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55418893344 = 2532598132173
BaseRepresentation
bin110011100111001110…
…010011010000100000
312022001020102110211100
4303213032103100200
51401444214041334
641243055114400
74001221551423
oct634716232040
9168036373740
1055418893344
112155957a901
12a8a7812a00
1352c26266a9
14297a2b39ba
151695492c99
hexce7393420

55418893344 has 72 divisors (see below), whose sum is σ = 157628726892. Its totient is φ = 18469301760.

The previous prime is 55418893333. The next prime is 55418893349. The reversal of 55418893344 is 44339881455.

It is a happy number.

55418893344 is a `hidden beast` number, since 5 + 541 + 8 + 8 + 93 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48493324944 + 6925568400 = 220212^2 + 83220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (55418893349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1706442 + ... + 1738614.

Almost surely, 255418893344 is an apocalyptic number.

It is an amenable number.

55418893344 is an abundant number, since it is smaller than the sum of its proper divisors (102209833548).

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

55418893344 is a wasteful number, since it uses less digits than its factorization.

55418893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38170 (or 38159 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

It can be divided in two parts, 5541889 and 3344, that added together give a cube (5545233 = 1773).

The spelling of 55418893344 in words is "fifty-five billion, four hundred eighteen million, eight hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5981 11962 17943 23924 32173 35886 47848 53829 64346 71772 95696 96519 107658 128692 143544 191392 193038 215316 257384 287088 289557 386076 430632 514768 574176 579114 772152 861264 1029536 1158228 1544304 1722528 2316456 3088608 4632912 9265824 192426713 384853426 577280139 769706852 1154560278 1539413704 1731840417 2309120556 3078827408 3463680834 4618241112 6157654816 6927361668 9236482224 13854723336 18472964448 27709446672 55418893344