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1045506250000 = 24584092
BaseRepresentation
bin11110011011011010000…
…01110101010100010000
310200221122010110102222201
433031231001311110100
5114112144100000000
62120144323212544
7135351422331562
oct17155501652420
93627563412881
101045506250000
11373440027073
1214a761b17154
137778b03c7a4
1438862017332
151c2e185496a
hexf36d075510

1045506250000 has 135 divisors (see below), whose sum is σ = 2538290204301. Its totient is φ = 417180000000.

The previous prime is 1045506249973. The next prime is 1045506250001. The reversal of 1045506250000 is 526055401.

The square root of 1045506250000 is 1022500.

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

It can be written as a sum of positive squares in 13 ways, for example, as 439500050704 + 606006199296 = 662948^2 + 778464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1045506250001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2556249796 + ... + 2556250204.

Almost surely, 21045506250000 is an apocalyptic number.

1045506250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1045506250000 is the 1022500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045506250000

1045506250000 is an abundant number, since it is smaller than the sum of its proper divisors (1492783954301).

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

1045506250000 is an frugal number, since it uses more digits than its factorization.

1045506250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 1045506250000 in words is "one trillion, forty-five billion, five hundred six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 409 500 625 818 1000 1250 1636 2000 2045 2500 3125 3272 4090 5000 6250 6544 8180 10000 10225 12500 15625 16360 20450 25000 31250 32720 40900 50000 51125 62500 78125 81800 102250 125000 156250 163600 167281 204500 250000 255625 312500 334562 390625 409000 511250 625000 669124 781250 818000 836405 1022500 1250000 1278125 1338248 1562500 1672810 2045000 2556250 2676496 3125000 3345620 4090000 4182025 5112500 6250000 6390625 6691240 8364050 10225000 12781250 13382480 16728100 20450000 20910125 25562500 31953125 33456200 41820250 51125000 63906250 66912400 83640500 102250000 104550625 127812500 159765625 167281000 209101250 255625000 319531250 334562000 418202500 511250000 522753125 639062500 836405000 1045506250 1278125000 1672810000 2091012500 2556250000 2613765625 4182025000 5227531250 8364050000 10455062500 13068828125 20910125000 26137656250 41820250000 52275312500 65344140625 104550625000 130688281250 209101250000 261376562500 522753125000 1045506250000