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5436454050 = 233524878269
BaseRepresentation
bin1010001000000100…
…11011010010100010
3112000212122110222000
411010002123102202
542113213012200
62255242024430
7251502045156
oct50402332242
915025573860
105436454050
11233a811435
1210787a8116
136883c4a21
14398035066
1521c41b300
hex14409b4a2

5436454050 has 96 divisors (see below), whose sum is σ = 15013027200. Its totient is φ = 1446569280.

The previous prime is 5436454043. The next prime is 5436454147. The reversal of 5436454050 is 504546345.

5436454050 is a `hidden beast` number, since 5 + 4 + 3 + 64 + 540 + 50 = 666.

It is a super-2 number, since 2×54364540502 = 59110065275522805000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5436453996 and 5436454014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653316 + ... + 661584.

It is an arithmetic number, because the mean of its divisors is an integer number (156385700).

Almost surely, 25436454050 is an apocalyptic number.

5436454050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5436454050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506513600).

5436454050 is an abundant number, since it is smaller than the sum of its proper divisors (9576573150).

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

5436454050 is a wasteful number, since it uses less digits than its factorization.

5436454050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5436454050 is about 73732.3134724525. The cubic root of 5436454050 is about 1758.3496549676.

The spelling of 5436454050 in words is "five billion, four hundred thirty-six million, four hundred fifty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 487 675 974 1350 1461 2435 2922 4383 4870 7305 8269 8766 12175 13149 14610 16538 21915 24350 24807 26298 36525 41345 43830 49614 65745 73050 74421 82690 109575 124035 131490 148842 206725 219150 223263 248070 328725 372105 413450 446526 620175 657450 744210 1116315 1240350 1860525 2232630 3721050 4027003 5581575 8054006 11163150 12081009 20135015 24162018 36243027 40270030 60405045 72486054 100675075 108729081 120810090 181215135 201350150 217458162 302025225 362430270 543645405 604050450 906075675 1087290810 1812151350 2718227025 5436454050