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48434243484 = 223114275677
BaseRepresentation
bin101101000110111001…
…111110011110011100
311122000110120111110210
4231012321332132130
51243143131242414
634130025532420
73333150163644
oct550671763634
9148013514423
1048434243484
11195a4960000
129478644110
13474b566593
1424b67d1524
1513d71abe59
hexb46e7e79c

48434243484 has 60 divisors (see below), whose sum is σ = 124314237320. Its totient is φ = 14676990240.

The previous prime is 48434243477. The next prime is 48434243497.

48434243484 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37854 + ... + 313530.

Almost surely, 248434243484 is an apocalyptic number.

48434243484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48434243484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62157118660).

48434243484 is an abundant number, since it is smaller than the sum of its proper divisors (75879993836).

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

48434243484 is a wasteful number, since it uses less digits than its factorization.

48434243484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275728 (or 275693 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 48.

The spelling of 48434243484 in words is "forty-eight billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7986 14641 15972 29282 43923 58564 87846 175692 275677 551354 827031 1102708 1654062 3032447 3308124 6064894 9097341 12129788 18194682 33356917 36389364 66713834 100070751 133427668 200141502 366926087 400283004 733852174 1100778261 1467704348 2201556522 4036186957 4403113044 8072373914 12108560871 16144747828 24217121742 48434243484