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54052660200 = 233527112314773
BaseRepresentation
bin110010010101110010…
…100010001111101000
312011112000121122021210
4302111302202033220
51341144440111300
640455332033120
73622322013420
oct622562421750
9164460548253
1054052660200
1120a18354700
12a5861627a0
13513556b606
14288aa71480
15161556d050
hexc95ca23e8

54052660200 has 1152 divisors, whose sum is σ = 224945602560. Its totient is φ = 10492416000.

The previous prime is 54052660139. The next prime is 54052660213. The reversal of 54052660200 is 206625045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 740447364 + ... + 740447436.

It is an arithmetic number, because the mean of its divisors is an integer number (195265280).

Almost surely, 254052660200 is an apocalyptic number.

54052660200 is a gapful number since it is divisible by the number (50) 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 54052660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112472801280).

54052660200 is an abundant number, since it is smaller than the sum of its proper divisors (170892942360).

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

54052660200 is a wasteful number, since it uses less digits than its factorization.

54052660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 54052660200 in words is "fifty-four billion, fifty-two million, six hundred sixty thousand, two hundred".