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55144398834 = 23372359910589
BaseRepresentation
bin110011010110110111…
…001011111111110010
312021100002220201011000
4303112313023333302
51400413431230314
641155531502430
73661346441040
oct632667137762
9167302821130
1055144398834
1121428637038
12a82b8b7a16
13527a7b8bc5
142951a5d390
15167b321209
hexcd6dcbff2

55144398834 has 128 divisors (see below), whose sum is σ = 146396160000. Its totient is φ = 15043938624.

The previous prime is 55144398781. The next prime is 55144398893. The reversal of 55144398834 is 43889344155.

It is a happy number.

55144398834 is a `hidden beast` number, since 5 + 514 + 4 + 3 + 98 + 8 + 34 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5202412 + ... + 5213000.

It is an arithmetic number, because the mean of its divisors is an integer number (1143720000).

Almost surely, 255144398834 is an apocalyptic number.

55144398834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55144398834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198080000).

55144398834 is an abundant number, since it is smaller than the sum of its proper divisors (91251761166).

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

55144398834 is a wasteful number, since it uses less digits than its factorization.

55144398834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11229 (or 11223 counting only the distinct ones).

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

The spelling of 55144398834 in words is "fifty-five billion, one hundred forty-four million, three hundred ninety-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 599 621 966 1198 1242 1449 1797 2898 3594 4193 4347 5391 8386 8694 10589 10782 12579 13777 16173 21178 25158 27554 31767 32346 37737 41331 63534 74123 75474 82662 95301 96439 113211 123993 148246 190602 192878 222369 226422 243547 247986 285903 289317 371979 444738 487094 571806 578634 667107 730641 743958 867951 1334214 1461282 1704829 1735902 2001321 2191923 2603853 3409658 4002642 4383846 5114487 5207706 6342811 6575769 10228974 12685622 13151538 15343461 19028433 30686922 38056866 44399677 46030383 57085299 88799354 92060766 114170598 133199031 145884653 171255897 266398062 291769306 342511794 399597093 437653959 799194186 875307918 1021192571 1198791279 1312961877 2042385142 2397582558 2625923754 3063577713 3938885631 6127155426 7877771262 9190733139 18381466278 27572199417 55144398834