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5601345000 = 233541512473
BaseRepresentation
bin1010011011101110…
…11011110111101000
3112110100220210211020
411031313123313220
542432421020000
62323452132440
7255543434616
oct51567336750
915410823736
105601345000
1124148a4449
121103a67120
136b3608734
143b1cb86b6
1522bb3cba0
hex14dddbde8

5601345000 has 160 divisors (see below), whose sum is σ = 17621609280. Its totient is φ = 1483200000.

The previous prime is 5601344999. The next prime is 5601345007. The reversal of 5601345000 is 5431065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5601345007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2263764 + ... + 2266236.

It is an arithmetic number, because the mean of its divisors is an integer number (110135058).

Almost surely, 25601345000 is an apocalyptic number.

5601345000 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 5601345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810804640).

5601345000 is an abundant number, since it is smaller than the sum of its proper divisors (12020264280).

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

5601345000 is a wasteful number, since it uses less digits than its factorization.

5601345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5601345000 is about 74842.1338552022. The cubic root of 5601345000 is about 1775.9501624478.

Adding to 5601345000 its reverse (5431065), we get a palindrome (5606776065).

The spelling of 5601345000 in words is "five billion, six hundred one million, three hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 151 200 250 300 302 375 453 500 600 604 625 750 755 906 1000 1208 1250 1500 1510 1812 1875 2265 2473 2500 3000 3020 3624 3750 3775 4530 4946 5000 6040 7419 7500 7550 9060 9892 11325 12365 14838 15000 15100 18120 18875 19784 22650 24730 29676 30200 37095 37750 45300 49460 56625 59352 61825 74190 75500 90600 94375 98920 113250 123650 148380 151000 185475 188750 226500 247300 283125 296760 309125 370950 373423 377500 453000 494600 566250 618250 741900 746846 755000 927375 1120269 1132500 1236500 1483800 1493692 1545625 1854750 1867115 2240538 2265000 2473000 2987384 3091250 3709500 3734230 4481076 4636875 5601345 6182500 7419000 7468460 8962152 9273750 9335575 11202690 12365000 14936920 18547500 18671150 22405380 28006725 37095000 37342300 44810760 46677875 56013450 74684600 93355750 112026900 140033625 186711500 224053800 233389375 280067250 373423000 466778750 560134500 700168125 933557500 1120269000 1400336250 1867115000 2800672500 5601345000