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55567669248 = 21136713409
BaseRepresentation
bin110011110000000101…
…110101100000000000
312022102121101002000000
4303300011311200000
51402300310403443
641305532000000
74005006252420
oct636005654000
9168377332000
1055567669248
11216255563a3
12a929600000
1353173b7380
142991d60480
1516a357e8d3
hexcf0175800

55567669248 has 672 divisors, whose sum is σ = 205530343200. Its totient is φ = 14619377664.

The previous prime is 55567669247. The next prime is 55567669271. The reversal of 55567669248 is 84296676555.

It is a happy number.

55567669248 is a `hidden beast` number, since 5 + 5 + 567 + 6 + 69 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55567669247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 135862068 + ... + 135862476.

It is an arithmetic number, because the mean of its divisors is an integer number (305848725).

Almost surely, 255567669248 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 55567669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102765171600).

55567669248 is an abundant number, since it is smaller than the sum of its proper divisors (149962673952).

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

55567669248 is an equidigital number, since it uses as much as digits as its factorization.

55567669248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 434 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 55567669248 in words is "fifty-five billion, five hundred sixty-seven million, six hundred sixty-nine thousand, two hundred forty-eight".