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545020411400 = 2352171297123593
BaseRepresentation
bin1111110111001011011…
…11110111111000001000
31221002210102001120110222
413323211233313320020
532412200211131100
61054213502525212
754243054026153
oct7734557677010
91832712046428
10545020411400
111a01618a4973
1289766296808
133c51a35766a
141c544486c9a
15e29d254485
hex7ee5bf7e08

545020411400 has 96 divisors (see below), whose sum is σ = 1342757350440. Its totient is φ = 205024296960.

The previous prime is 545020411379. The next prime is 545020411517. The reversal of 545020411400 is 4114020545.

It can be written as a sum of positive squares in 12 ways, for example, as 231055185124 + 313965226276 = 480682^2 + 560326^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 545020411400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4348004 + ... + 4471596.

Almost surely, 2545020411400 is an apocalyptic number.

545020411400 is a gapful number since it is divisible by the number (50) 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 545020411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671378675220).

545020411400 is an abundant number, since it is smaller than the sum of its proper divisors (797736939040).

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

545020411400 is a wasteful number, since it uses less digits than its factorization.

545020411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124923 (or 124914 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 545020411400 its reverse (4114020545), we get a palindrome (549134431945).

The spelling of 545020411400 in words is "five hundred forty-five billion, twenty million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1297 1700 2594 3400 5188 6485 10376 12970 22049 25940 32425 44098 51880 64850 88196 110245 123593 129700 176392 220490 247186 259400 440980 494372 551225 617965 881960 988744 1102450 1235930 2101081 2204900 2471860 3089825 4202162 4409800 4943720 6179650 8404324 10505405 12359300 16808648 21010810 24718600 42021620 52527025 84043240 105054050 160300121 210108100 320600242 420216200 641200484 801500605 1282400968 1603001210 2725102057 3206002420 4007503025 5450204114 6412004840 8015006050 10900408228 13625510285 16030012100 21800816456 27251020570 32060024200 54502041140 68127551425 109004082280 136255102850 272510205700 545020411400