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45125112525200 = 24521076131719943
BaseRepresentation
bin10100100001010100000100…
…10011010111000110010000
312220202220210200022221100022
422100222002103113012100
521403312212301301300
6235550105052243012
712335116232525441
oct1220520223270620
9186686720287308
1045125112525200
11134184a867a594
125089670a70468
131c24383ab2516
14b200d219b2c8
15533c1b176285
hex290a824d7190

45125112525200 has 120 divisors (see below), whose sum is σ = 109604862393408. Its totient is φ = 17852172387840.

The previous prime is 45125112525187. The next prime is 45125112525211. The reversal of 45125112525200 is 252521152154.

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 23 ways as a sum of consecutive naturals, for example, 25376429 + ... + 27096371.

Almost surely, 245125112525200 is an apocalyptic number.

45125112525200 is a gapful number since it is divisible by the number (40) 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 45125112525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54802431196704).

45125112525200 is an abundant number, since it is smaller than the sum of its proper divisors (64479749868208).

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

45125112525200 is a wasteful number, since it uses less digits than its factorization.

45125112525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720681 (or 1720670 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 35.

Adding to 45125112525200 its reverse (252521152154), we get a palindrome (45377633677354).

The spelling of 45125112525200 in words is "forty-five trillion, one hundred twenty-five billion, one hundred twelve million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 613 856 1070 1226 1712 2140 2452 2675 3065 4280 4904 5350 6130 8560 9808 10700 12260 15325 21400 24520 30650 42800 49040 61300 65591 122600 131182 245200 262364 327955 524728 655910 1049456 1311820 1639775 1719943 2623640 3279550 3439886 5247280 6559100 6879772 8599715 13118200 13759544 17199430 26236400 27519088 34398860 42998575 68797720 85997150 137595440 171994300 184033901 343988600 368067802 687977200 736135604 920169505 1054325059 1472271208 1840339010 2108650118 2944542416 3680678020 4217300236 4600847525 5271625295 7361356040 8434600472 9201695050 10543250590 14722712080 16869200944 18403390100 21086501180 26358126475 36806780200 42173002360 52716252950 73613560400 84346004720 105432505900 112812781313 210865011800 225625562626 421730023600 451251125252 564063906565 902502250504 1128127813130 1805004501008 2256255626260 2820319532825 4512511252520 5640639065650 9025022505040 11281278131300 22562556262600 45125112525200