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55326201840 = 24325731319907
BaseRepresentation
bin110011100001101100…
…101101011111110000
312021210210000020222200
4303201230231133300
51401302001424330
641225544303200
73666014646000
oct634154553760
9167723006880
1055326201840
1121511220358
12a880771b00
1352a9371650
14296bc66000
15168c283a60
hexce1b2d7f0

55326201840 has 960 divisors, whose sum is σ = 245900928000. Its totient is φ = 11046647808.

The previous prime is 55326201823. The next prime is 55326201881. The reversal of 55326201840 is 4810262355.

55326201840 is a `hidden beast` number, since 55 + 326 + 201 + 84 + 0 = 666.

It is a super-2 number, since 2×553262018402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55326201795 and 55326201804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60998667 + ... + 60999573.

It is an arithmetic number, because the mean of its divisors is an integer number (256146800).

Almost surely, 255326201840 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 55326201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122950464000).

55326201840 is an abundant number, since it is smaller than the sum of its proper divisors (190574726160).

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

55326201840 is a wasteful number, since it uses less digits than its factorization.

55326201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 55326201840 in words is "fifty-five billion, three hundred twenty-six million, two hundred one thousand, eight hundred forty".