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2045026512540 = 22325111032841673
BaseRepresentation
bin11101110000100101000…
…101000010111010011100
321020111120102011200101200
4131300211011002322130
5232001203241400130
64203245555235500
7300514443355254
oct35604505027234
97214512150350
102045026512540
11719322175120
1229040b2a8b90
1311aacaac8cbb
1470da0860964
15382e0e06760
hex1dc25142e9c

2045026512540 has 72 divisors (see below), whose sum is σ = 6767178648048. Its totient is φ = 495764002560.

The previous prime is 2045026512493. The next prime is 2045026512563. The reversal of 2045026512540 is 452156205402.

2045026512540 is a `hidden beast` number, since 2 + 0 + 4 + 50 + 2 + 65 + 1 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2045026512495 and 2045026512504.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 516418857 + ... + 516422816.

It is an arithmetic number, because the mean of its divisors is an integer number (93988592334).

Almost surely, 22045026512540 is an apocalyptic number.

2045026512540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045026512540 is an abundant number, since it is smaller than the sum of its proper divisors (4722152135508).

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

2045026512540 is a wasteful number, since it uses less digits than its factorization.

2045026512540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032841699 (or 1032841694 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2045026512540 in words is "two trillion, forty-five billion, twenty-six million, five hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1032841673 2065683346 3098525019 4131366692 5164208365 6197050038 9295575057 10328416730 11361258403 12394100076 15492625095 18591150114 20656833460 22722516806 30985250190 34083775209 37182300228 45445033612 46477875285 56806292015 61970500380 68167550418 92955750570 102251325627 113612584030 136335100836 170418876045 185911501140 204502651254 227225168060 340837752090 409005302508 511256628135 681675504180 1022513256270 2045026512540