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5188017000 = 233534142179
BaseRepresentation
bin1001101010011101…
…01101101101101000
3111101120011120101210
410311032231231220
541111113021000
62214445113120
7242364262665
oct46516555550
914346146353
105188017000
112222555a61
1210095587a0
13648aab85a
14373044a6c
152056e5350
hex1353adb68

5188017000 has 128 divisors (see below), whose sum is σ = 16581801600. Its totient is φ = 1349696000.

The previous prime is 5188016993. The next prime is 5188017001. The reversal of 5188017000 is 7108815.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5188017001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101911 + ... + 144089.

It is an arithmetic number, because the mean of its divisors is an integer number (129545325).

Almost surely, 25188017000 is an apocalyptic number.

5188017000 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 5188017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290900800).

5188017000 is an abundant number, since it is smaller than the sum of its proper divisors (11393784600).

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

5188017000 is a wasteful number, since it uses less digits than its factorization.

5188017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42244 (or 42230 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 5188017000 is about 72027.8904314155. The cubic root of 5188017000 is about 1731.1463995489.

The spelling of 5188017000 in words is "five billion, one hundred eighty-eight million, seventeen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 42179 61500 84358 123000 126537 168716 210895 253074 337432 421790 506148 632685 843580 1012296 1054475 1265370 1687160 1729339 2108950 2530740 3163425 3458678 4217900 5061480 5188017 5272375 6326850 6917356 8435800 8646695 10376034 10544750 12653700 13834712 15817125 17293390 20752068 21089500 25307400 25940085 31634250 34586780 41504136 42179000 43233475 51880170 63268500 69173560 86466950 103760340 126537000 129700425 172933900 207520680 216167375 259400850 345867800 432334750 518801700 648502125 864669500 1037603400 1297004250 1729339000 2594008500 5188017000