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48478463232 = 283371998573
BaseRepresentation
bin101101001001100010…
…101010010100000000
311122010112210002120020
4231021202222110000
51243240441310412
634134245413440
73334225065333
oct551142522400
9148115702506
1048478463232
1119617912a51
12948b40a280
134757779a04
1424bc62261a
1513daee418c
hexb498aa500

48478463232 has 144 divisors (see below), whose sum is σ = 133191945600. Its totient is φ = 15641911296.

The previous prime is 48478463227. The next prime is 48478463239. The reversal of 48478463232 is 23236487484.

It is a super-2 number, since 2×484784632322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48478463239) by changing a digit.

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, 5650498 + ... + 5659070.

Almost surely, 248478463232 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 48478463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66595972800).

48478463232 is an abundant number, since it is smaller than the sum of its proper divisors (84713482368).

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

48478463232 is a wasteful number, since it uses less digits than its factorization.

48478463232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8814 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 51.

The spelling of 48478463232 in words is "forty-eight billion, four hundred seventy-eight million, four hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 199 222 256 296 384 398 444 592 597 768 796 888 1184 1194 1592 1776 2368 2388 3184 3552 4736 4776 6368 7104 7363 8573 9472 9552 12736 14208 14726 17146 19104 22089 25472 25719 28416 29452 34292 38208 44178 50944 51438 58904 68584 76416 88356 102876 117808 137168 152832 176712 205752 235616 274336 317201 353424 411504 471232 548672 634402 706848 823008 942464 951603 1097344 1268804 1413696 1646016 1706027 1884928 1903206 2194688 2537608 2827392 3292032 3412054 3806412 5075216 5118081 5654784 6584064 6824108 7612824 10150432 10236162 13648216 15225648 20300864 20472324 27296432 30451296 40601728 40944648 54592864 60902592 63122999 81203456 81889296 109185728 121805184 126245998 163778592 189368997 218371456 243610368 252491996 327557184 378737994 436742912 504983992 655114368 757475988 1009967984 1310228736 1514951976 2019935968 3029903952 4039871936 6059807904 8079743872 12119615808 16159487744 24239231616 48478463232