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55629368568 = 2334577148783
BaseRepresentation
bin110011110011110001…
…001100110011111000
312022120220110201120000
4303303301030303320
51402412104243233
641320014233000
74006355555004
oct636361146370
9168526421500
1055629368568
1121657367a74
12a9461b5760
13532710a947
14299a221704
1516a8bbad13
hexcf3c4ccf8

55629368568 has 80 divisors (see below), whose sum is σ = 156084830880. Its totient is φ = 18510861312.

The previous prime is 55629368563. The next prime is 55629368657. The reversal of 55629368568 is 86586392655.

55629368568 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 9 + 3 + 68 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55629368563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 299505 + ... + 448287.

It is an arithmetic number, because the mean of its divisors is an integer number (1951060386).

Almost surely, 255629368568 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 55629368568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78042415440).

55629368568 is an abundant number, since it is smaller than the sum of its proper divisors (100455462312).

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

55629368568 is a wasteful number, since it uses less digits than its factorization.

55629368568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149378 (or 149365 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 55629368568 in words is "fifty-five billion, six hundred twenty-nine million, three hundred sixty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 577 648 1154 1731 2308 3462 4616 5193 6924 10386 13848 15579 20772 31158 41544 46737 62316 93474 124632 148783 186948 297566 373896 446349 595132 892698 1190264 1339047 1785396 2678094 3570792 4017141 5356188 8034282 10712376 12051423 16068564 24102846 32137128 48205692 85847791 96411384 171695582 257543373 343391164 515086746 686782328 772630119 1030173492 1545260238 2060346984 2317890357 3090520476 4635780714 6181040952 6953671071 9271561428 13907342142 18543122856 27814684284 55629368568