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48386148492 = 223114198231063
BaseRepresentation
bin101101000100000010…
…100000100010001100
311121220010002000112210
4231010002200202030
51243043323222432
634121151030420
73332024322213
oct550402404214
9147803060483
1048386148492
111957a7a0580
12946450b410
1347415c72c6
1424b027207a
1513d2d5b8cc
hexb440a088c

48386148492 has 96 divisors (see below), whose sum is σ = 123724984320. Its totient is φ = 14595958080.

The previous prime is 48386148457. The next prime is 48386148497. The reversal of 48386148492 is 29484168384.

It is not an unprimeable number, because it can be changed into a prime (48386148497) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45517953 + ... + 45519015.

It is an arithmetic number, because the mean of its divisors is an integer number (1288801920).

Almost surely, 248386148492 is an apocalyptic number.

It is an amenable number.

48386148492 is an abundant number, since it is smaller than the sum of its proper divisors (75338835828).

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

48386148492 is a wasteful number, since it uses less digits than its factorization.

48386148492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2321 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

It can be divided in two parts, 48386 and 148492, that added together give a triangular number (196878 = T627).

The spelling of 48386148492 in words is "forty-eight billion, three hundred eighty-six million, one hundred forty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 419 823 838 1063 1257 1646 1676 2126 2469 2514 3189 3292 4252 4609 4938 5028 6378 9053 9218 9876 11693 12756 13827 18106 18436 23386 27159 27654 35079 36212 46772 54318 55308 70158 108636 140316 344837 445397 689674 874849 890794 1034511 1336191 1379348 1749698 1781588 2069022 2624547 2672382 3499396 3793207 4138044 4899367 5249094 5344764 7586414 9623339 9798734 10498188 11379621 14698101 15172828 19246678 19597468 22759242 28870017 29396202 38493356 45518484 57740034 58792404 115480068 366561731 733123462 1099685193 1466246924 2199370386 4032179041 4398740772 8064358082 12096537123 16128716164 24193074246 48386148492