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5481572640 = 253516370061
BaseRepresentation
bin1010001101011101…
…00010100100100000
3112011000112202000220
411012232202210200
542211240311030
62303533043040
7252560412225
oct50656424440
915130482026
105481572640
112363228725
12108b926480
1369486130b
143a001b94c
1522137ea10
hex146ba2920

5481572640 has 96 divisors (see below), whose sum is σ = 17373134016. Its totient is φ = 1452764160.

The previous prime is 5481572617. The next prime is 5481572651. The reversal of 5481572640 is 462751845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5481572592 and 5481572601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43210 + ... + 113270.

It is an arithmetic number, because the mean of its divisors is an integer number (180970146).

Almost surely, 25481572640 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 5481572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686567008).

5481572640 is an abundant number, since it is smaller than the sum of its proper divisors (11891561376).

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

5481572640 is a wasteful number, since it uses less digits than its factorization.

5481572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70242 (or 70234 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5481572640 is about 74037.6433984767. The cubic root of 5481572640 is about 1763.2005982905.

The spelling of 5481572640 in words is "five billion, four hundred eighty-one million, five hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 5216 6520 7824 9780 13040 15648 19560 26080 39120 70061 78240 140122 210183 280244 350305 420366 560488 700610 840732 1050915 1120976 1401220 1681464 2101830 2241952 2802440 3362928 4203660 5604880 6725856 8407320 11209760 11419943 16814640 22839886 33629280 34259829 45679772 57099715 68519658 91359544 114199430 137039316 171299145 182719088 228398860 274078632 342598290 365438176 456797720 548157264 685196580 913595440 1096314528 1370393160 1827190880 2740786320 5481572640