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5513015040 = 283513110437
BaseRepresentation
bin1010010001001100…
…11110111100000000
3112020012201011220020
411020212132330000
542242312440130
62311015013440
7253421566101
oct51046367400
915205634806
105513015040
112379a53885
12109a36a280
1369b21c9a0
143a42843a8
15223ee0e10
hex14899ef00

5513015040 has 144 divisors (see below), whose sum is σ = 18961762848. Its totient is φ = 1357037568.

The previous prime is 5513015033. The next prime is 5513015063. The reversal of 5513015040 is 405103155.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5513015040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5299 + ... + 105138.

Almost surely, 25513015040 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 5513015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480881424).

5513015040 is an abundant number, since it is smaller than the sum of its proper divisors (13448747808).

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

5513015040 is a wasteful number, since it uses less digits than its factorization.

5513015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110474 (or 110460 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5513015040 is about 74249.6804033526. The cubic root of 5513015040 is about 1766.5654230972.

Adding to 5513015040 its reverse (405103155), we get a palindrome (5918118195).

The spelling of 5513015040 in words is "five billion, five hundred thirteen million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 110437 220874 331311 441748 552185 662622 883496 1104370 1325244 1435681 1656555 1766992 2208740 2650488 2871362 3313110 3533984 4307043 4417480 5300976 5742724 6626220 7067968 7178405 8614086 8834960 10601952 11485448 13252440 14135936 14356810 17228172 17669920 21203904 21535215 22970896 26504880 28271872 28713620 34456344 35339840 42407808 43070430 45941792 53009760 57427240 68912688 70679680 84815616 86140860 91883584 106019520 114854480 137825376 141359360 172281720 183767168 212039040 229708960 275650752 344563440 367534336 424078080 459417920 551301504 689126880 918835840 1102603008 1378253760 1837671680 2756507520 5513015040