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5055077340 = 22325188914867
BaseRepresentation
bin1001011010100111…
…00101101111011100
3111001022000112110200
410231103211233130
540323044433330
62153335503500
7236161306545
oct45523455734
914038015420
105055077340
112164506475
12b90b27b90
136273a4031
1435d51b4cc
151e8bd5a60
hex12d4e5bdc

5055077340 has 72 divisors (see below), whose sum is σ = 15342883920. Its totient is φ = 1347216384.

The previous prime is 5055077323. The next prime is 5055077369. The reversal of 5055077340 is 437705505.

5055077340 is a `hidden beast` number, since 5 + 0 + 550 + 77 + 34 + 0 = 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 = 5055077295 and 5055077304.

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, 332587 + ... + 347453.

It is an arithmetic number, because the mean of its divisors is an integer number (213095610).

Almost surely, 25055077340 is an apocalyptic number.

It is an amenable number.

5055077340 is an abundant number, since it is smaller than the sum of its proper divisors (10287806580).

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

5055077340 is a wasteful number, since it uses less digits than its factorization.

5055077340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16771 (or 16766 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 5055077340 is about 71099.0670824871. The cubic root of 5055077340 is about 1716.2317607979.

The spelling of 5055077340 in words is "five billion, fifty-five million, seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1889 3778 5667 7556 9445 11334 14867 17001 18890 22668 28335 29734 34002 37780 44601 56670 59468 68004 74335 85005 89202 113340 133803 148670 170010 178404 223005 267606 297340 340020 446010 535212 669015 892020 1338030 2676060 28083763 56167526 84251289 112335052 140418815 168502578 252753867 280837630 337005156 421256445 505507734 561675260 842512890 1011015468 1263769335 1685025780 2527538670 5055077340