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54522152000 = 265322929761
BaseRepresentation
bin110010110001110001…
…100000010001000000
312012201202001021221222
4302301301200101000
51343130132331000
641014102534212
73640052434241
oct626161402100
9165652037858
1054522152000
1121139373858
12a697437368
1351ab901304
1428d3164cc8
1516418aba85
hexcb1c60440

54522152000 has 112 divisors (see below), whose sum is σ = 135618291120. Its totient is φ = 21712896000.

The previous prime is 54522151949. The next prime is 54522152033. The reversal of 54522152000 is 25122545.

It can be written as a sum of positive squares in 8 ways, for example, as 14214362176 + 40307789824 = 119224^2 + 200768^2 .

It is a super-2 number, since 2×545221520002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1817120 + ... + 1846880.

Almost surely, 254522152000 is an apocalyptic number.

54522152000 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 54522152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67809145560).

54522152000 is an abundant number, since it is smaller than the sum of its proper divisors (81096139120).

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

54522152000 is a wasteful number, since it uses less digits than its factorization.

54522152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30017 (or 29997 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

Adding to 54522152000 its reverse (25122545), we get a palindrome (54547274545).

The spelling of 54522152000 in words is "fifty-four billion, five hundred twenty-two million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 229 250 320 400 458 500 800 916 1000 1145 1600 1832 2000 2290 3664 4000 4580 5725 7328 8000 9160 11450 14656 18320 22900 28625 29761 36640 45800 57250 59522 73280 91600 114500 119044 148805 183200 229000 238088 297610 366400 458000 476176 595220 744025 916000 952352 1190440 1488050 1832000 1904704 2380880 2976100 3720125 4761760 5952200 6815269 7440250 9523520 11904400 13630538 14880500 23808800 27261076 29761000 34076345 47617600 54522152 59522000 68152690 109044304 119044000 136305380 170381725 218088608 238088000 272610760 340763450 436177216 545221520 681526900 851908625 1090443040 1363053800 1703817250 2180886080 2726107600 3407634500 5452215200 6815269000 10904430400 13630538000 27261076000 54522152000