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55744979976 = 23337312111813
BaseRepresentation
bin110011111010101010…
…001110010000001000
312022212222000101121000
4303322222032100020
51403131203324401
641335304215000
74012261340340
oct637252162010
9168788011530
1055744979976
1121706651594
12a978a6a460
13534505916a
1429ab717d20
1516b3e06186
hexcfaa8e408

55744979976 has 128 divisors (see below), whose sum is σ = 177039878400. Its totient is φ = 15920686080.

The previous prime is 55744979959. The next prime is 55744979977. The reversal of 55744979976 is 67997944755.

55744979976 is a `hidden beast` number, since 5 + 574 + 49 + 7 + 9 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (55744979977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713046 + ... + 4724858.

It is an arithmetic number, because the mean of its divisors is an integer number (1383124050).

Almost surely, 255744979976 is an apocalyptic number.

55744979976 is a gapful number since it is divisible by the number (56) 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 55744979976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88519939200).

55744979976 is an abundant number, since it is smaller than the sum of its proper divisors (121294898424).

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

55744979976 is a wasteful number, since it uses less digits than its factorization.

55744979976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14956 (or 14946 counting only the distinct ones).

The product of its digits is 600112800, while the sum is 72.

The spelling of 55744979976 in words is "fifty-five billion, seven hundred forty-four million, nine hundred seventy-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3121 6242 9363 11813 12484 18726 21847 23626 24968 28089 35439 37452 43694 47252 56178 65541 70878 74904 82691 84267 87388 94504 106317 112356 131082 141756 165382 168534 174776 196623 212634 224712 248073 262164 283512 318951 330764 337068 393246 425268 496146 524328 589869 637902 661528 674136 744219 786492 850536 992292 1179738 1275804 1488438 1572984 1984584 2232657 2359476 2551608 2976876 4465314 4718952 5953752 8930628 17861256 36868373 73736746 110605119 147473492 221210238 258078611 294946984 331815357 442420476 516157222 663630714 774235833 884840952 995446071 1032314444 1327261428 1548471666 1990892142 2064628888 2322707499 2654522856 3096943332 3981784284 4645414998 6193886664 6968122497 7963568568 9290829996 13936244994 18581659992 27872489988 55744979976