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8116482800 = 2452371374003
BaseRepresentation
bin1111000111100011…
…11011001011110000
3202221122121001021002
413203301323023300
5113110304422200
63421220221132
7405063652106
oct74361731360
922848531232
108116482800
1134955a7728
1216a623a7a8
139c470815a
1456dd49c76
15327858bd5
hex1e3c7b2f0

8116482800 has 120 divisors (see below), whose sum is σ = 20178093936. Its totient is φ = 3135006720.

The previous prime is 8116482761. The next prime is 8116482809. The reversal of 8116482800 is 82846118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8116482809) 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 23 ways as a sum of consecutive naturals, for example, 2025599 + ... + 2029601.

Almost surely, 28116482800 is an apocalyptic number.

8116482800 is a gapful number since it is divisible by the number (80) 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 8116482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089046968).

8116482800 is an abundant number, since it is smaller than the sum of its proper divisors (12061611136).

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

8116482800 is a wasteful number, since it uses less digits than its factorization.

8116482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 8116482800 is about 90091.5245736246. The cubic root of 8116482800 is about 2009.6601654785.

The spelling of 8116482800 in words is "eight billion, one hundred sixteen million, four hundred eighty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 137 148 185 200 274 296 370 400 548 592 685 740 925 1096 1370 1480 1850 2192 2740 2960 3425 3700 4003 5069 5480 6850 7400 8006 10138 10960 13700 14800 16012 20015 20276 25345 27400 32024 40030 40552 50690 54800 64048 80060 81104 100075 101380 126725 148111 160120 200150 202760 253450 296222 320240 400300 405520 506900 548411 592444 740555 800600 1013800 1096822 1184888 1481110 1601200 2027600 2193644 2369776 2742055 2962220 3702775 4387288 5484110 5924440 7405550 8774576 10968220 11848880 13710275 14811100 20291207 21936440 27420550 29622200 40582414 43872880 54841100 59244400 81164828 101456035 109682200 162329656 202912070 219364400 324659312 405824140 507280175 811648280 1014560350 1623296560 2029120700 4058241400 8116482800