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5514152000 = 2653798467
BaseRepresentation
bin1010010001010101…
…10100100001000000
3112020021211221111212
411020222310201000
542243110331000
62311055225252
7253434342620
oct51052644100
915207757455
105514152000
11237a660015
12109a818228
1369b52a346
143a449c880
15224167c35
hex148ab4840

5514152000 has 112 divisors (see below), whose sum is σ = 15606784128. Its totient is φ = 1890547200.

The previous prime is 5514151991. The next prime is 5514152009. The reversal of 5514152000 is 2514155.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5514151991) and next prime (5514152009).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5514152009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6767 + ... + 105233.

Almost surely, 25514152000 is an apocalyptic number.

5514152000 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 5514152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803392064).

5514152000 is an abundant number, since it is smaller than the sum of its proper divisors (10092632128).

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

5514152000 is an equidigital number, since it uses as much as digits as its factorization.

5514152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98501 (or 98481 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 5514152000 is about 74257.3363379000. The cubic root of 5514152000 is about 1766.6868555108.

Adding to 5514152000 its reverse (2514155), we get a palindrome (5516666155).

The spelling of 5514152000 in words is "five billion, five hundred fourteen million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 98467 196934 393868 492335 689269 787736 984670 1378538 1575472 1969340 2461675 2757076 3150944 3446345 3938680 4923350 5514152 6301888 6892690 7877360 9846700 11028304 12308375 13785380 15754720 17231725 19693400 22056608 24616750 27570760 31509440 34463450 39386800 44113216 49233500 55141520 68926900 78773600 86158625 98467000 110283040 137853800 157547200 172317250 196934000 220566080 275707600 344634500 393868000 551415200 689269000 787736000 1102830400 1378538000 2757076000 5514152000