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45480319848 = 23326774312689
BaseRepresentation
bin101010010110110101…
…101001101101101000
311100101121020122000200
4222112311221231220
51221120430213343
632520545032200
73200021224455
oct522665515550
9140347218020
1045480319848
11183195004a7
128993325660
13439a595582
1422b638082c
1512b2bba4d3
hexa96d69b68

45480319848 has 96 divisors (see below), whose sum is σ = 125192433600. Its totient is φ = 14912561664.

The previous prime is 45480319847. The next prime is 45480319877. The reversal of 45480319848 is 84891308454.

It is a happy number.

45480319848 is a `hidden beast` number, since 4 + 5 + 480 + 31 + 98 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45480319794 and 45480319803.

It is not an unprimeable number, because it can be changed into a prime (45480319847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3577888 + ... + 3590576.

It is an arithmetic number, because the mean of its divisors is an integer number (1304087850).

Almost surely, 245480319848 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 45480319848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62596216800).

45480319848 is an abundant number, since it is smaller than the sum of its proper divisors (79712113752).

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

45480319848 is a wasteful number, since it uses less digits than its factorization.

45480319848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13511 (or 13504 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 45480319848 in words is "forty-five billion, four hundred eighty million, three hundred nineteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 743 804 1206 1486 1608 2229 2412 2972 4458 4824 5944 6687 8916 12689 13374 17832 25378 26748 38067 49781 50756 53496 76134 99562 101512 114201 149343 152268 199124 228402 298686 304536 398248 448029 456804 597372 850163 896058 913608 1194744 1700326 1792116 2550489 3400652 3584232 5100978 6801304 7651467 9427927 10201956 15302934 18855854 20403912 28283781 30605868 37711708 56567562 61211736 75423416 84851343 113135124 169702686 226270248 339405372 631671109 678810744 1263342218 1895013327 2526684436 3790026654 5053368872 5685039981 7580053308 11370079962 15160106616 22740159924 45480319848