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48150431442 = 232149106116921
BaseRepresentation
bin101100110101111111…
…010100011011010010
311121021200112100112200
4230311333110123102
51242103002301232
634041530504030
73323132625411
oct546577243322
9147250470480
1048150431442
11194697328a3
1293b9595016
134704815a69
14248ac33478
1513bc2e977c
hexb35fd46d2

48150431442 has 48 divisors (see below), whose sum is σ = 105131309400. Its totient is φ = 15926457600.

The previous prime is 48150431429. The next prime is 48150431443. The reversal of 48150431442 is 24413405184.

48150431442 is a `hidden beast` number, since 4 + 8 + 1 + 504 + 3 + 144 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40223912481 + 7926518961 = 200559^2 + 89031^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48150431397 and 48150431406.

It is not an unprimeable number, because it can be changed into a prime (48150431443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837142 + ... + 2854062.

Almost surely, 248150431442 is an apocalyptic number.

48150431442 is an abundant number, since it is smaller than the sum of its proper divisors (56980877958).

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

48150431442 is a wasteful number, since it uses less digits than its factorization.

48150431442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18139 (or 18136 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 48150431442 in words is "forty-eight billion, one hundred fifty million, four hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 149 298 447 894 1061 1341 2122 2682 3183 6366 9549 16921 19098 33842 50763 101526 152289 158089 304578 316178 474267 948534 1422801 2521229 2845602 5042458 7563687 15127374 17953181 22691061 35906362 45382122 53859543 107719086 161578629 323157258 2675023969 5350047938 8025071907 16050143814 24075215721 48150431442