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45225281250 = 232564012
BaseRepresentation
bin101010000111101000…
…110000011011100010
311022201211100022211200
4222013220300123202
51220110133000000
632435354422030
73160503355632
oct520750603342
9138654308750
1045225281250
11181a85461a6
128921a31916
1343597aa666
1422905526c2
15129a5dd500
hexa87a306e2

45225281250 has 126 divisors (see below), whose sum is σ = 122789775927. Its totient is φ = 12030000000.

The previous prime is 45225281243. The next prime is 45225281267. The reversal of 45225281250 is 5218252254.

45225281250 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 528 + 125 + 0 = 666.

It can be written as a sum of positive squares in 11 ways, for example, as 11385103401 + 33840177849 = 106701^2 + 183957^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=150375.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 112781050 + ... + 112781450.

Almost surely, 245225281250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45225281250

45225281250 is an abundant number, since it is smaller than the sum of its proper divisors (77564494677).

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

45225281250 is an frugal number, since it uses more digits than its factorization.

45225281250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 45225281250 in words is "forty-five billion, two hundred twenty-five million, two hundred eighty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 401 450 625 750 802 1125 1203 1250 1875 2005 2250 2406 3125 3609 3750 4010 5625 6015 6250 7218 9375 10025 11250 12030 15625 18045 18750 20050 28125 30075 31250 36090 46875 50125 56250 60150 90225 93750 100250 140625 150375 160801 180450 250625 281250 300750 321602 451125 482403 501250 751875 804005 902250 964806 1253125 1447209 1503750 1608010 2255625 2412015 2506250 2894418 3759375 4020025 4511250 4824030 6265625 7236045 7518750 8040050 11278125 12060075 12531250 14472090 18796875 20100125 22556250 24120150 36180225 37593750 40200250 56390625 60300375 72360450 100500625 112781250 120600750 180901125 201001250 301501875 361802250 502503125 603003750 904505625 1005006250 1507509375 1809011250 2512515625 3015018750 4522528125 5025031250 7537546875 9045056250 15075093750 22612640625 45225281250