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55986610680 = 23325711132171937
BaseRepresentation
bin110100001001000011…
…111110000111111000
312100111210200111121100
4310021003332013320
51404130033020210
641415255211400
74021254224130
oct641103760770
9170453614540
1055986610680
112181aa89290
12aa25976b60
13538312b300
1429d1855ac0
1516ca2355c0
hexd090fe1f8

55986610680 has 2304 divisors, whose sum is σ = 281186380800. Its totient is φ = 9316270080.

The previous prime is 55986610679. The next prime is 55986610711. The reversal of 55986610680 is 8601668955.

It is a happy number.

55986610680 is a `hidden beast` number, since 559 + 8 + 6 + 6 + 1 + 0 + 6 + 80 = 666.

55986610680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1513151622 + ... + 1513151658.

It is an arithmetic number, because the mean of its divisors is an integer number (122042700).

Almost surely, 255986610680 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 55986610680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140593190400).

55986610680 is an abundant number, since it is smaller than the sum of its proper divisors (225199770120).

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

55986610680 is a wasteful number, since it uses less digits than its factorization.

55986610680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

It can be divided in two parts, 55986 and 610680, that added together give a palindrome (666666).

The spelling of 55986610680 in words is "fifty-five billion, nine hundred eighty-six million, six hundred ten thousand, six hundred eighty".