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5456013840 = 2432511096833
BaseRepresentation
bin1010001010011010…
…00010101000010000
3112002020110012221200
411011031002220100
542133214420330
62301221151200
7252130231614
oct50515025020
915066405850
105456013840
11234a860a52
12108325b500
1368c482974
1439a887344
1521ded1a60
hex145342a10

5456013840 has 120 divisors (see below), whose sum is σ = 18342319320. Its totient is φ = 1453412352.

The previous prime is 5456013833. The next prime is 5456013851. The reversal of 5456013840 is 483106545.

It is a happy number.

5456013840 is a `hidden beast` number, since 5 + 4 + 5 + 601 + 3 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258180624 + 5197833216 = 16068^2 + 72096^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5456013795 and 5456013804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795064 + ... + 801896.

It is an arithmetic number, because the mean of its divisors is an integer number (152852661).

Almost surely, 25456013840 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 5456013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9171159660).

5456013840 is an abundant number, since it is smaller than the sum of its proper divisors (12886305480).

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

5456013840 is a wasteful number, since it uses less digits than its factorization.

5456013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5456013840 is about 73864.8349351706. The cubic root of 5456013840 is about 1760.4559166671.

The spelling of 5456013840 in words is "five billion, four hundred fifty-six million, thirteen thousand, eight hundred 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 90 120 144 180 240 360 720 1109 2218 3327 4436 5545 6654 6833 8872 9981 11090 13308 13666 16635 17744 19962 20499 22180 26616 27332 33270 34165 39924 40998 44360 49905 53232 54664 61497 66540 68330 79848 81996 88720 99810 102495 109328 122994 133080 136660 159696 163992 199620 204990 245988 266160 273320 307485 327984 399240 409980 491976 546640 614970 798480 819960 983952 1229940 1639920 2459880 4919760 7577797 15155594 22733391 30311188 37888985 45466782 60622376 68200173 75777970 90933564 113666955 121244752 136400346 151555940 181867128 227333910 272800692 303111880 341000865 363734256 454667820 545601384 606223760 682001730 909335640 1091202768 1364003460 1818671280 2728006920 5456013840