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5709989040 = 2435716272089
BaseRepresentation
bin1010101000101011…
…11000010010110000
3112201221100111102120
411110111320102300
543143224122130
62342332514240
7261333051240
oct52425702260
915657314376
105709989040
11247015a308
12113431b980
136ccc87852
143c24b9b20
1523644d910
hex1545784b0

5709989040 has 160 divisors (see below), whose sum is σ = 20251799040. Its totient is φ = 1303713792.

The previous prime is 5709989029. The next prime is 5709989059. The reversal of 5709989040 is 409899075.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2732316 + ... + 2734404.

It is an arithmetic number, because the mean of its divisors is an integer number (126573744).

Almost surely, 25709989040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5709989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10125899520).

5709989040 is an abundant number, since it is smaller than the sum of its proper divisors (14541810000).

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

5709989040 is a wasteful number, since it uses less digits than its factorization.

5709989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 5709989040 is about 75564.4694284291. The cubic root of 5709989040 is about 1787.3588630638.

The spelling of 5709989040 in words is "five billion, seven hundred nine million, nine hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1627 1680 2089 3254 4178 4881 6267 6508 8135 8356 9762 10445 11389 12534 13016 14623 16270 16712 19524 20890 22778 24405 25068 26032 29246 31335 32540 33424 34167 39048 41780 43869 45556 48810 50136 56945 58492 62670 65080 68334 73115 78096 83560 87738 91112 97620 100272 113890 116984 125340 130160 136668 146230 167120 170835 175476 182224 195240 219345 227780 233968 250680 273336 292460 341670 350952 390480 438690 455560 501360 546672 584920 683340 701904 877380 911120 1169840 1366680 1754760 2733360 3398803 3509520 6797606 10196409 13595212 16994015 20392818 23791621 27190424 33988030 40785636 47583242 50982045 54380848 67976060 71374863 81571272 95166484 101964090 118958105 135952120 142749726 163142544 190332968 203928180 237916210 271904240 285499452 356874315 380665936 407856360 475832420 570998904 713748630 815712720 951664840 1141997808 1427497260 1903329680 2854994520 5709989040