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484569132100 = 225215124612
BaseRepresentation
bin1110000110100101001…
…00100010110001000100
31201022202110022101220121
413003102210202301010
530414344144211400
61010335154111324
750003034443314
oct7032244426104
91638673271817
10484569132100
11177560708009
1279ab527b544
1336905273401
141964bac1444
15c9110ae21a
hex70d2922c44

484569132100 has 81 divisors (see below), whose sum is σ = 1060825939383. Its totient is φ = 192126360000.

The previous prime is 484569132071. The next prime is 484569132107. The reversal of 484569132100 is 1231965484.

The square root of 484569132100 is 696110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 49539185476 + 435029946624 = 222574^2 + 659568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (484569132107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1051125870 + ... + 1051126330.

Almost surely, 2484569132100 is an apocalyptic number.

484569132100 is the 696110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484569132100

484569132100 is an abundant number, since it is smaller than the sum of its proper divisors (576256807283).

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

484569132100 is an equidigital number, since it uses as much as digits as its factorization.

484569132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 484569132100 in words is "four hundred eighty-four billion, five hundred sixty-nine million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 461 604 755 922 1510 1844 2305 3020 3775 4610 7550 9220 11525 15100 22801 23050 45602 46100 69611 91204 114005 139222 212521 228010 278444 348055 425042 456020 570025 696110 850084 1062605 1140050 1392220 1740275 2125210 2280100 3480550 4250420 5313025 6961100 10511261 10626050 21022522 21252100 32090671 42045044 52556305 64181342 105112610 128362684 160453355 210225220 262781525 320906710 525563050 641813420 802266775 1051126100 1604533550 3209067100 4845691321 9691382642 19382765284 24228456605 48456913210 96913826420 121142283025 242284566050 484569132100