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5531009040 = 2432540119157
BaseRepresentation
bin1010010011010110…
…01000000000010000
3112021110120101000200
411021223020000100
542311414242130
62312500415200
7254030541534
oct51153100020
915243511020
105531009040
112389123a57
1210a43a7500
136a1b8001b
143a6809bc4
15225897760
hex149ac8010

5531009040 has 120 divisors (see below), whose sum is σ = 18622265688. Its totient is φ = 1471180800.

The previous prime is 5531008999. The next prime is 5531009059. The reversal of 5531009040 is 409001355.

5531009040 is a `hidden beast` number, since 5 + 531 + 0 + 0 + 90 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 681836544 + 4849172496 = 26112^2 + 69636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×55310090402 = 61184122001123443200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5531008995 and 5531009013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279142 + ... + 298298.

Almost surely, 25531009040 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 5531009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311132844).

5531009040 is an abundant number, since it is smaller than the sum of its proper divisors (13091256648).

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

5531009040 is a wasteful number, since it uses less digits than its factorization.

5531009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19577 (or 19568 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5531009040 is about 74370.7539292160. The cubic root of 5531009040 is about 1768.4853076255.

The spelling of 5531009040 in words is "five billion, five hundred thirty-one million, nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 401 720 802 1203 1604 2005 2406 3208 3609 4010 4812 6015 6416 7218 8020 9624 12030 14436 16040 18045 19157 19248 24060 28872 32080 36090 38314 48120 57471 57744 72180 76628 95785 96240 114942 144360 153256 172413 191570 229884 287355 288720 306512 344826 383140 459768 574710 689652 766280 862065 919536 1149420 1379304 1532560 1724130 2298840 2758608 3448260 4597680 6896520 7681957 13793040 15363914 23045871 30727828 38409785 46091742 61455656 69137613 76819570 92183484 115229355 122911312 138275226 153639140 184366968 230458710 276550452 307278280 345688065 368733936 460917420 553100904 614556560 691376130 921834840 1106201808 1382752260 1843669680 2765504520 5531009040